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Finding the Fourth Proportional to 19,890, 29,801.52 and 12,476.88

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Solution

The fourth proportional to 19,890, 29,801.52 and 12,476.88 is: 18,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,890 : 29,801.52 = 12,476.88 : x
  2. Step 2: Convert to fraction form
    19,890/29,801.52 = 12,476.88/x
  3. Step 3: Cross multiply
    19,890x = 29,801.52 × 12,476.88
  4. Step 4: Simplify right side
    19,890x = 371,829,988.86
  5. Step 5: Solve for x
    x = 371,829,988.86/19,890
  6. Step 6: Final answer
    x = 18,694.32

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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.