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Finding the Fourth Proportional to 10,124, 15,174.64 and 7,650.80

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Solution

The fourth proportional to 10,124, 15,174.64 and 7,650.80 is: 11,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124 : 15,174.64 = 7,650.80 : x
  2. Step 2: Convert to fraction form
    10,124/15,174.64 = 7,650.80/x
  3. Step 3: Cross multiply
    10,124x = 15,174.64 × 7,650.80
  4. Step 4: Simplify right side
    10,124x = 116,098,135.71
  5. Step 5: Solve for x
    x = 116,098,135.71/10,124
  6. Step 6: Final answer
    x = 11,467.62

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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.