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Finding the Fourth Proportional to 40,394, 55,743.72 and 22,730

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Solution

The fourth proportional to 40,394, 55,743.72 and 22,730 is: 31,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,394 : 55,743.72 = 22,730 : x
  2. Step 2: Convert to fraction form
    40,394/55,743.72 = 22,730/x
  3. Step 3: Cross multiply
    40,394x = 55,743.72 × 22,730
  4. Step 4: Simplify right side
    40,394x = 1,267,054,755.60
  5. Step 5: Solve for x
    x = 1,267,054,755.60/40,394
  6. Step 6: Final answer
    x = 31,367.40

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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.