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Finding the Fourth Proportional to 21,052.80, 29,049.54 and 12,098.57

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Solution

The fourth proportional to 21,052.80, 29,049.54 and 12,098.57 is: 16,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,052.80 : 29,049.54 = 12,098.57 : x
  2. Step 2: Convert to fraction form
    21,052.80/29,049.54 = 12,098.57/x
  3. Step 3: Cross multiply
    21,052.80x = 29,049.54 × 12,098.57
  4. Step 4: Simplify right side
    21,052.80x = 351,457,747.91
  5. Step 5: Solve for x
    x = 351,457,747.91/21,052.80
  6. Step 6: Final answer
    x = 16,694.11

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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.