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Finding the Fourth Proportional to 20,524.77, 30,787.53 and 9,428.43

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Solution

The fourth proportional to 20,524.77, 30,787.53 and 9,428.43 is: 14,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.77 : 30,787.53 = 9,428.43 : x
  2. Step 2: Convert to fraction form
    20,524.77/30,787.53 = 9,428.43/x
  3. Step 3: Cross multiply
    20,524.77x = 30,787.53 × 9,428.43
  4. Step 4: Simplify right side
    20,524.77x = 290,278,071.48
  5. Step 5: Solve for x
    x = 290,278,071.48/20,524.77
  6. Step 6: Final answer
    x = 14,142.82

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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.