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Finding the Fourth Proportional to 25,472.78, 38,191.74 and 12,968.61

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Solution

The fourth proportional to 25,472.78, 38,191.74 and 12,968.61 is: 19,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.78 : 38,191.74 = 12,968.61 : x
  2. Step 2: Convert to fraction form
    25,472.78/38,191.74 = 12,968.61/x
  3. Step 3: Cross multiply
    25,472.78x = 38,191.74 × 12,968.61
  4. Step 4: Simplify right side
    25,472.78x = 495,293,644.14
  5. Step 5: Solve for x
    x = 495,293,644.14/25,472.78
  6. Step 6: Final answer
    x = 19,444.04

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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.