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Finding the Fourth Proportional to 40,536, 55,939.68 and 22,872

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Solution

The fourth proportional to 40,536, 55,939.68 and 22,872 is: 31,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,536 : 55,939.68 = 22,872 : x
  2. Step 2: Convert to fraction form
    40,536/55,939.68 = 22,872/x
  3. Step 3: Cross multiply
    40,536x = 55,939.68 × 22,872
  4. Step 4: Simplify right side
    40,536x = 1,279,452,360.96
  5. Step 5: Solve for x
    x = 1,279,452,360.96/40,536
  6. Step 6: Final answer
    x = 31,563.36

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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.