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Finding the Fourth Proportional to 15,711.12, 21,681.42 and 8,638

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Solution

The fourth proportional to 15,711.12, 21,681.42 and 8,638 is: 11,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.12 : 21,681.42 = 8,638 : x
  2. Step 2: Convert to fraction form
    15,711.12/21,681.42 = 8,638/x
  3. Step 3: Cross multiply
    15,711.12x = 21,681.42 × 8,638
  4. Step 4: Simplify right side
    15,711.12x = 187,284,105.96
  5. Step 5: Solve for x
    x = 187,284,105.96/15,711.12
  6. Step 6: Final answer
    x = 11,920.48

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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.