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Finding the Fourth Proportional to 25,429, 35,092.04 and 15,493

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Solution

The fourth proportional to 25,429, 35,092.04 and 15,493 is: 21,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,429 : 35,092.04 = 15,493 : x
  2. Step 2: Convert to fraction form
    25,429/35,092.04 = 15,493/x
  3. Step 3: Cross multiply
    25,429x = 35,092.04 × 15,493
  4. Step 4: Simplify right side
    25,429x = 543,680,975.72
  5. Step 5: Solve for x
    x = 543,680,975.72/25,429
  6. Step 6: Final answer
    x = 21,380.35

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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.