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Finding the Fourth Proportional to 18,257.31, 25,193.61 and 10,702.71

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Solution

The fourth proportional to 18,257.31, 25,193.61 and 10,702.71 is: 14,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.31 : 25,193.61 = 10,702.71 : x
  2. Step 2: Convert to fraction form
    18,257.31/25,193.61 = 10,702.71/x
  3. Step 3: Cross multiply
    18,257.31x = 25,193.61 × 10,702.71
  4. Step 4: Simplify right side
    18,257.31x = 269,639,901.68
  5. Step 5: Solve for x
    x = 269,639,901.68/18,257.31
  6. Step 6: Final answer
    x = 14,768.87

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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.