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Finding the Fourth Proportional to 7,640.86, 10,519.20 and 6,645.61

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Solution

The fourth proportional to 7,640.86, 10,519.20 and 6,645.61 is: 9,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.86 : 10,519.20 = 6,645.61 : x
  2. Step 2: Convert to fraction form
    7,640.86/10,519.20 = 6,645.61/x
  3. Step 3: Cross multiply
    7,640.86x = 10,519.20 × 6,645.61
  4. Step 4: Simplify right side
    7,640.86x = 69,906,500.71
  5. Step 5: Solve for x
    x = 69,906,500.71/7,640.86
  6. Step 6: Final answer
    x = 9,149.04

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1.5x scale

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.