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Finding the Fourth Proportional to 22,488.94, 31,038.80 and 13,414.88

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Solution

The fourth proportional to 22,488.94, 31,038.80 and 13,414.88 is: 18,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.94 : 31,038.80 = 13,414.88 : x
  2. Step 2: Convert to fraction form
    22,488.94/31,038.80 = 13,414.88/x
  3. Step 3: Cross multiply
    22,488.94x = 31,038.80 × 13,414.88
  4. Step 4: Simplify right side
    22,488.94x = 416,381,787.87
  5. Step 5: Solve for x
    x = 416,381,787.87/22,488.94
  6. Step 6: Final answer
    x = 18,514.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.