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Finding the Fourth Proportional to 8,428.67, 12,642.90 and 6,581.31

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Solution

The fourth proportional to 8,428.67, 12,642.90 and 6,581.31 is: 9,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.67 : 12,642.90 = 6,581.31 : x
  2. Step 2: Convert to fraction form
    8,428.67/12,642.90 = 6,581.31/x
  3. Step 3: Cross multiply
    8,428.67x = 12,642.90 × 6,581.31
  4. Step 4: Simplify right side
    8,428.67x = 83,206,844.20
  5. Step 5: Solve for x
    x = 83,206,844.20/8,428.67
  6. Step 6: Final answer
    x = 9,871.88

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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.