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Finding the Fourth Proportional to 19,516.92, 29,279.76 and 9,123

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Solution

The fourth proportional to 19,516.92, 29,279.76 and 9,123 is: 13,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.92 : 29,279.76 = 9,123 : x
  2. Step 2: Convert to fraction form
    19,516.92/29,279.76 = 9,123/x
  3. Step 3: Cross multiply
    19,516.92x = 29,279.76 × 9,123
  4. Step 4: Simplify right side
    19,516.92x = 267,119,250.48
  5. Step 5: Solve for x
    x = 267,119,250.48/19,516.92
  6. Step 6: Final answer
    x = 13,686.55

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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.