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Finding the Fourth Proportional to 21,274, 29,358.12 and 12,442

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Solution

The fourth proportional to 21,274, 29,358.12 and 12,442 is: 17,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274 : 29,358.12 = 12,442 : x
  2. Step 2: Convert to fraction form
    21,274/29,358.12 = 12,442/x
  3. Step 3: Cross multiply
    21,274x = 29,358.12 × 12,442
  4. Step 4: Simplify right side
    21,274x = 365,273,729.04
  5. Step 5: Solve for x
    x = 365,273,729.04/21,274
  6. Step 6: Final answer
    x = 17,169.96

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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.