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Finding the Fourth Proportional to 25,385, 35,027.52 and 15,306.44

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Solution

The fourth proportional to 25,385, 35,027.52 and 15,306.44 is: 21,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385 : 35,027.52 = 15,306.44 : x
  2. Step 2: Convert to fraction form
    25,385/35,027.52 = 15,306.44/x
  3. Step 3: Cross multiply
    25,385x = 35,027.52 × 15,306.44
  4. Step 4: Simplify right side
    25,385x = 536,146,633.23
  5. Step 5: Solve for x
    x = 536,146,633.23/25,385
  6. Step 6: Final answer
    x = 21,120.61

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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.