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Finding the Fourth Proportional to 21,566, 29,761.80 and 13,180.88

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Solution

The fourth proportional to 21,566, 29,761.80 and 13,180.88 is: 18,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566 : 29,761.80 = 13,180.88 : x
  2. Step 2: Convert to fraction form
    21,566/29,761.80 = 13,180.88/x
  3. Step 3: Cross multiply
    21,566x = 29,761.80 × 13,180.88
  4. Step 4: Simplify right side
    21,566x = 392,286,714.38
  5. Step 5: Solve for x
    x = 392,286,714.38/21,566
  6. Step 6: Final answer
    x = 18,190.05

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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.