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Finding the Fourth Proportional to 4,682.76, 6,463.22 and 3,194.24

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Solution

The fourth proportional to 4,682.76, 6,463.22 and 3,194.24 is: 4,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.76 : 6,463.22 = 3,194.24 : x
  2. Step 2: Convert to fraction form
    4,682.76/6,463.22 = 3,194.24/x
  3. Step 3: Cross multiply
    4,682.76x = 6,463.22 × 3,194.24
  4. Step 4: Simplify right side
    4,682.76x = 20,645,075.85
  5. Step 5: Solve for x
    x = 20,645,075.85/4,682.76
  6. Step 6: Final answer
    x = 4,408.74

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Find fourth proportional to 2,341.38, 3,231.61 and 1,597.12
Half scale
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Double scale
Find fourth proportional to 4,683.76, 6,464.60 and 3,195.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.