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Finding the Fourth Proportional to 4,178.76, 5,764.60 and 3,240.76

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Solution

The fourth proportional to 4,178.76, 5,764.60 and 3,240.76 is: 4,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.76 : 5,764.60 = 3,240.76 : x
  2. Step 2: Convert to fraction form
    4,178.76/5,764.60 = 3,240.76/x
  3. Step 3: Cross multiply
    4,178.76x = 5,764.60 × 3,240.76
  4. Step 4: Simplify right side
    4,178.76x = 18,681,685.10
  5. Step 5: Solve for x
    x = 18,681,685.10/4,178.76
  6. Step 6: Final answer
    x = 4,470.63

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Half scale
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Double scale
Find fourth proportional to 4,179.76, 5,765.98 and 3,241.76
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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.