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Finding the Fourth Proportional to 39,310.24, 54,242.02 and 22,540

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Solution

The fourth proportional to 39,310.24, 54,242.02 and 22,540 is: 31,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,310.24 : 54,242.02 = 22,540 : x
  2. Step 2: Convert to fraction form
    39,310.24/54,242.02 = 22,540/x
  3. Step 3: Cross multiply
    39,310.24x = 54,242.02 × 22,540
  4. Step 4: Simplify right side
    39,310.24x = 1,222,615,130.80
  5. Step 5: Solve for x
    x = 1,222,615,130.80/39,310.24
  6. Step 6: Final answer
    x = 31,101.70

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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.