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Finding the Fourth Proportional to 19,141.31, 28,717.79 and 9,787.90

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Solution

The fourth proportional to 19,141.31, 28,717.79 and 9,787.90 is: 14,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141.31 : 28,717.79 = 9,787.90 : x
  2. Step 2: Convert to fraction form
    19,141.31/28,717.79 = 9,787.90/x
  3. Step 3: Cross multiply
    19,141.31x = 28,717.79 × 9,787.90
  4. Step 4: Simplify right side
    19,141.31x = 281,086,764.14
  5. Step 5: Solve for x
    x = 281,086,764.14/19,141.31
  6. Step 6: Final answer
    x = 14,684.82

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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.