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Finding the Fourth Proportional to 25,174, 37,761.32 and 8,758

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Solution

The fourth proportional to 25,174, 37,761.32 and 8,758 is: 13,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,174 : 37,761.32 = 8,758 : x
  2. Step 2: Convert to fraction form
    25,174/37,761.32 = 8,758/x
  3. Step 3: Cross multiply
    25,174x = 37,761.32 × 8,758
  4. Step 4: Simplify right side
    25,174x = 330,713,640.56
  5. Step 5: Solve for x
    x = 330,713,640.56/25,174
  6. Step 6: Final answer
    x = 13,137.11

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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.