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Finding the Fourth Proportional to 10,515.52, 15,764.63 and 7,174.54

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Solution

The fourth proportional to 10,515.52, 15,764.63 and 7,174.54 is: 10,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.52 : 15,764.63 = 7,174.54 : x
  2. Step 2: Convert to fraction form
    10,515.52/15,764.63 = 7,174.54/x
  3. Step 3: Cross multiply
    10,515.52x = 15,764.63 × 7,174.54
  4. Step 4: Simplify right side
    10,515.52x = 113,103,889.70
  5. Step 5: Solve for x
    x = 113,103,889.70/10,515.52
  6. Step 6: Final answer
    x = 10,755.91

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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.