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Finding the Fourth Proportional to 6,839.68, 10,213.92 and 6,766.56

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Solution

The fourth proportional to 6,839.68, 10,213.92 and 6,766.56 is: 10,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.68 : 10,213.92 = 6,766.56 : x
  2. Step 2: Convert to fraction form
    6,839.68/10,213.92 = 6,766.56/x
  3. Step 3: Cross multiply
    6,839.68x = 10,213.92 × 6,766.56
  4. Step 4: Simplify right side
    6,839.68x = 69,113,102.52
  5. Step 5: Solve for x
    x = 69,113,102.52/6,839.68
  6. Step 6: Final answer
    x = 10,104.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.