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Finding the Fourth Proportional to 8,387.31, 12,581.07 and 3,642.37

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Solution

The fourth proportional to 8,387.31, 12,581.07 and 3,642.37 is: 5,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.31 : 12,581.07 = 3,642.37 : x
  2. Step 2: Convert to fraction form
    8,387.31/12,581.07 = 3,642.37/x
  3. Step 3: Cross multiply
    8,387.31x = 12,581.07 × 3,642.37
  4. Step 4: Simplify right side
    8,387.31x = 45,824,911.94
  5. Step 5: Solve for x
    x = 45,824,911.94/8,387.31
  6. Step 6: Final answer
    x = 5,463.60

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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.