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Finding the Fourth Proportional to 10,126, 15,177.64 and 7,652.80

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Solution

The fourth proportional to 10,126, 15,177.64 and 7,652.80 is: 11,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126 : 15,177.64 = 7,652.80 : x
  2. Step 2: Convert to fraction form
    10,126/15,177.64 = 7,652.80/x
  3. Step 3: Cross multiply
    10,126x = 15,177.64 × 7,652.80
  4. Step 4: Simplify right side
    10,126x = 116,151,443.39
  5. Step 5: Solve for x
    x = 116,151,443.39/10,126
  6. Step 6: Final answer
    x = 11,470.61

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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.