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Finding the Fourth Proportional to 39,474, 54,474.12 and 22,707

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Solution

The fourth proportional to 39,474, 54,474.12 and 22,707 is: 31,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 54,474.12 = 22,707 : x
  2. Step 2: Convert to fraction form
    39,474/54,474.12 = 22,707/x
  3. Step 3: Cross multiply
    39,474x = 54,474.12 × 22,707
  4. Step 4: Simplify right side
    39,474x = 1,236,943,842.84
  5. Step 5: Solve for x
    x = 1,236,943,842.84/39,474
  6. Step 6: Final answer
    x = 31,335.66

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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.