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Finding the Fourth Proportional to 40,376, 55,726.56 and 22,712

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Solution

The fourth proportional to 40,376, 55,726.56 and 22,712 is: 31,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,376 : 55,726.56 = 22,712 : x
  2. Step 2: Convert to fraction form
    40,376/55,726.56 = 22,712/x
  3. Step 3: Cross multiply
    40,376x = 55,726.56 × 22,712
  4. Step 4: Simplify right side
    40,376x = 1,265,661,630.72
  5. Step 5: Solve for x
    x = 1,265,661,630.72/40,376
  6. Step 6: Final answer
    x = 31,346.88

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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.