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Finding the Fourth Proportional to 7,766.73, 10,717.80 and 4,229.88

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Solution

The fourth proportional to 7,766.73, 10,717.80 and 4,229.88 is: 5,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.73 : 10,717.80 = 4,229.88 : x
  2. Step 2: Convert to fraction form
    7,766.73/10,717.80 = 4,229.88/x
  3. Step 3: Cross multiply
    7,766.73x = 10,717.80 × 4,229.88
  4. Step 4: Simplify right side
    7,766.73x = 45,335,007.86
  5. Step 5: Solve for x
    x = 45,335,007.86/7,766.73
  6. Step 6: Final answer
    x = 5,837.08

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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.