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Finding the Fourth Proportional to 22,961.03, 31,687.41 and 12,888.95

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Solution

The fourth proportional to 22,961.03, 31,687.41 and 12,888.95 is: 17,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.03 : 31,687.41 = 12,888.95 : x
  2. Step 2: Convert to fraction form
    22,961.03/31,687.41 = 12,888.95/x
  3. Step 3: Cross multiply
    22,961.03x = 31,687.41 × 12,888.95
  4. Step 4: Simplify right side
    22,961.03x = 408,417,284.68
  5. Step 5: Solve for x
    x = 408,417,284.68/22,961.03
  6. Step 6: Final answer
    x = 17,787.42

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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.