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Finding the Fourth Proportional to 40,403, 55,756.38 and 22,739

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Solution

The fourth proportional to 40,403, 55,756.38 and 22,739 is: 31,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,403 : 55,756.38 = 22,739 : x
  2. Step 2: Convert to fraction form
    40,403/55,756.38 = 22,739/x
  3. Step 3: Cross multiply
    40,403x = 55,756.38 × 22,739
  4. Step 4: Simplify right side
    40,403x = 1,267,844,324.82
  5. Step 5: Solve for x
    x = 1,267,844,324.82/40,403
  6. Step 6: Final answer
    x = 31,379.96

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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.