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Finding the Fourth Proportional to 25,872.20, 38,750.70 and 21,264.20

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Solution

The fourth proportional to 25,872.20, 38,750.70 and 21,264.20 is: 31,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.20 : 38,750.70 = 21,264.20 : x
  2. Step 2: Convert to fraction form
    25,872.20/38,750.70 = 21,264.20/x
  3. Step 3: Cross multiply
    25,872.20x = 38,750.70 × 21,264.20
  4. Step 4: Simplify right side
    25,872.20x = 824,002,634.94
  5. Step 5: Solve for x
    x = 824,002,634.94/25,872.20
  6. Step 6: Final answer
    x = 31,848.96

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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.