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Finding the Fourth Proportional to 15,059, 20,781.42 and 9,171

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Solution

The fourth proportional to 15,059, 20,781.42 and 9,171 is: 12,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059 : 20,781.42 = 9,171 : x
  2. Step 2: Convert to fraction form
    15,059/20,781.42 = 9,171/x
  3. Step 3: Cross multiply
    15,059x = 20,781.42 × 9,171
  4. Step 4: Simplify right side
    15,059x = 190,586,402.82
  5. Step 5: Solve for x
    x = 190,586,402.82/15,059
  6. Step 6: Final answer
    x = 12,655.98

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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.