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Finding the Fourth Proportional to 10,879.20, 15,012 and 6,402.60

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Solution

The fourth proportional to 10,879.20, 15,012 and 6,402.60 is: 8,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.20 : 15,012 = 6,402.60 : x
  2. Step 2: Convert to fraction form
    10,879.20/15,012 = 6,402.60/x
  3. Step 3: Cross multiply
    10,879.20x = 15,012 × 6,402.60
  4. Step 4: Simplify right side
    10,879.20x = 96,115,831.20
  5. Step 5: Solve for x
    x = 96,115,831.20/10,879.20
  6. Step 6: Final answer
    x = 8,834.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.