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Finding the Fourth Proportional to 22,776.38, 31,418.24 and 13,695.42

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Solution

The fourth proportional to 22,776.38, 31,418.24 and 13,695.42 is: 18,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.38 : 31,418.24 = 13,695.42 : x
  2. Step 2: Convert to fraction form
    22,776.38/31,418.24 = 13,695.42/x
  3. Step 3: Cross multiply
    22,776.38x = 31,418.24 × 13,695.42
  4. Step 4: Simplify right side
    22,776.38x = 430,285,992.46
  5. Step 5: Solve for x
    x = 430,285,992.46/22,776.38
  6. Step 6: Final answer
    x = 18,891.76

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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.