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Finding the Fourth Proportional to 6,397.71, 9,599.31 and 3,478.11

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Solution

The fourth proportional to 6,397.71, 9,599.31 and 3,478.11 is: 5,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.71 : 9,599.31 = 3,478.11 : x
  2. Step 2: Convert to fraction form
    6,397.71/9,599.31 = 3,478.11/x
  3. Step 3: Cross multiply
    6,397.71x = 9,599.31 × 3,478.11
  4. Step 4: Simplify right side
    6,397.71x = 33,387,456.10
  5. Step 5: Solve for x
    x = 33,387,456.10/6,397.71
  6. Step 6: Final answer
    x = 5,218.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.