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Finding the Fourth Proportional to 22,932.45, 34,390.91 and 8,139.29

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Solution

The fourth proportional to 22,932.45, 34,390.91 and 8,139.29 is: 12,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.45 : 34,390.91 = 8,139.29 : x
  2. Step 2: Convert to fraction form
    22,932.45/34,390.91 = 8,139.29/x
  3. Step 3: Cross multiply
    22,932.45x = 34,390.91 × 8,139.29
  4. Step 4: Simplify right side
    22,932.45x = 279,917,438.25
  5. Step 5: Solve for x
    x = 279,917,438.25/22,932.45
  6. Step 6: Final answer
    x = 12,206.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.