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Finding the Fourth Proportional to 40,377.64, 55,721.64 and 22,472.86

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Solution

The fourth proportional to 40,377.64, 55,721.64 and 22,472.86 is: 31,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,377.64 : 55,721.64 = 22,472.86 : x
  2. Step 2: Convert to fraction form
    40,377.64/55,721.64 = 22,472.86/x
  3. Step 3: Cross multiply
    40,377.64x = 55,721.64 × 22,472.86
  4. Step 4: Simplify right side
    40,377.64x = 1,252,224,614.69
  5. Step 5: Solve for x
    x = 1,252,224,614.69/40,377.64
  6. Step 6: Final answer
    x = 31,012.82

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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.