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Finding the Fourth Proportional to 15,129.62, 22,677.62 and 11,419.82

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Solution

The fourth proportional to 15,129.62, 22,677.62 and 11,419.82 is: 17,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.62 : 22,677.62 = 11,419.82 : x
  2. Step 2: Convert to fraction form
    15,129.62/22,677.62 = 11,419.82/x
  3. Step 3: Cross multiply
    15,129.62x = 22,677.62 × 11,419.82
  4. Step 4: Simplify right side
    15,129.62x = 258,974,167.94
  5. Step 5: Solve for x
    x = 258,974,167.94/15,129.62
  6. Step 6: Final answer
    x = 17,117.04

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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.