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Finding the Fourth Proportional to 22,791, 31,452.66 and 12,855

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Solution

The fourth proportional to 22,791, 31,452.66 and 12,855 is: 17,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791 : 31,452.66 = 12,855 : x
  2. Step 2: Convert to fraction form
    22,791/31,452.66 = 12,855/x
  3. Step 3: Cross multiply
    22,791x = 31,452.66 × 12,855
  4. Step 4: Simplify right side
    22,791x = 404,323,944.30
  5. Step 5: Solve for x
    x = 404,323,944.30/22,791
  6. Step 6: Final answer
    x = 17,740.51

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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.