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Finding the Fourth Proportional to 22,610.62, 31,202.75 and 12,540

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Solution

The fourth proportional to 22,610.62, 31,202.75 and 12,540 is: 17,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.62 : 31,202.75 = 12,540 : x
  2. Step 2: Convert to fraction form
    22,610.62/31,202.75 = 12,540/x
  3. Step 3: Cross multiply
    22,610.62x = 31,202.75 × 12,540
  4. Step 4: Simplify right side
    22,610.62x = 391,282,485
  5. Step 5: Solve for x
    x = 391,282,485/22,610.62
  6. Step 6: Final answer
    x = 17,305.25

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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.