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Finding the Fourth Proportional to 18,580.14, 25,640.22 and 10,513.71

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Solution

The fourth proportional to 18,580.14, 25,640.22 and 10,513.71 is: 14,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.14 : 25,640.22 = 10,513.71 : x
  2. Step 2: Convert to fraction form
    18,580.14/25,640.22 = 10,513.71/x
  3. Step 3: Cross multiply
    18,580.14x = 25,640.22 × 10,513.71
  4. Step 4: Simplify right side
    18,580.14x = 269,573,837.42
  5. Step 5: Solve for x
    x = 269,573,837.42/18,580.14
  6. Step 6: Final answer
    x = 14,508.71

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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.