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Finding the Fourth Proportional to 6,766.40, 10,151.20 and 2,149.40

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Solution

The fourth proportional to 6,766.40, 10,151.20 and 2,149.40 is: 3,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.40 : 10,151.20 = 2,149.40 : x
  2. Step 2: Convert to fraction form
    6,766.40/10,151.20 = 2,149.40/x
  3. Step 3: Cross multiply
    6,766.40x = 10,151.20 × 2,149.40
  4. Step 4: Simplify right side
    6,766.40x = 21,818,989.28
  5. Step 5: Solve for x
    x = 21,818,989.28/6,766.40
  6. Step 6: Final answer
    x = 3,224.61

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1.5x scale

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.