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Finding the Fourth Proportional to 21,134, 29,138.40 and 13,567

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Solution

The fourth proportional to 21,134, 29,138.40 and 13,567 is: 18,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134 : 29,138.40 = 13,567 : x
  2. Step 2: Convert to fraction form
    21,134/29,138.40 = 13,567/x
  3. Step 3: Cross multiply
    21,134x = 29,138.40 × 13,567
  4. Step 4: Simplify right side
    21,134x = 395,320,672.80
  5. Step 5: Solve for x
    x = 395,320,672.80/21,134
  6. Step 6: Final answer
    x = 18,705.44

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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.