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Finding the Fourth Proportional to 21,474, 29,634.88 and 12,520.08

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Solution

The fourth proportional to 21,474, 29,634.88 and 12,520.08 is: 17,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474 : 29,634.88 = 12,520.08 : x
  2. Step 2: Convert to fraction form
    21,474/29,634.88 = 12,520.08/x
  3. Step 3: Cross multiply
    21,474x = 29,634.88 × 12,520.08
  4. Step 4: Simplify right side
    21,474x = 371,031,068.39
  5. Step 5: Solve for x
    x = 371,031,068.39/21,474
  6. Step 6: Final answer
    x = 17,278.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.