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Finding the Fourth Proportional to 15,429, 23,138.72 and 5,567

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Solution

The fourth proportional to 15,429, 23,138.72 and 5,567 is: 8,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429 : 23,138.72 = 5,567 : x
  2. Step 2: Convert to fraction form
    15,429/23,138.72 = 5,567/x
  3. Step 3: Cross multiply
    15,429x = 23,138.72 × 5,567
  4. Step 4: Simplify right side
    15,429x = 128,813,254.24
  5. Step 5: Solve for x
    x = 128,813,254.24/15,429
  6. Step 6: Final answer
    x = 8,348.78

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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.