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Finding the Fourth Proportional to 6,393.82, 8,823.19 and 3,561.10

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Solution

The fourth proportional to 6,393.82, 8,823.19 and 3,561.10 is: 4,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.82 : 8,823.19 = 3,561.10 : x
  2. Step 2: Convert to fraction form
    6,393.82/8,823.19 = 3,561.10/x
  3. Step 3: Cross multiply
    6,393.82x = 8,823.19 × 3,561.10
  4. Step 4: Simplify right side
    6,393.82x = 31,420,261.91
  5. Step 5: Solve for x
    x = 31,420,261.91/6,393.82
  6. Step 6: Final answer
    x = 4,914.16

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Half scale
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Double scale
Find fourth proportional to 6,394.82, 8,824.57 and 3,562.10
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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.