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Finding the Fourth Proportional to 21,787.92, 32,691.10 and 11,915.67

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Solution

The fourth proportional to 21,787.92, 32,691.10 and 11,915.67 is: 17,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.92 : 32,691.10 = 11,915.67 : x
  2. Step 2: Convert to fraction form
    21,787.92/32,691.10 = 11,915.67/x
  3. Step 3: Cross multiply
    21,787.92x = 32,691.10 × 11,915.67
  4. Step 4: Simplify right side
    21,787.92x = 389,536,359.54
  5. Step 5: Solve for x
    x = 389,536,359.54/21,787.92
  6. Step 6: Final answer
    x = 17,878.55

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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.