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Finding the Fourth Proportional to 6,780.59, 9,357.74 and 3,948.85

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Solution

The fourth proportional to 6,780.59, 9,357.74 and 3,948.85 is: 5,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.59 : 9,357.74 = 3,948.85 : x
  2. Step 2: Convert to fraction form
    6,780.59/9,357.74 = 3,948.85/x
  3. Step 3: Cross multiply
    6,780.59x = 9,357.74 × 3,948.85
  4. Step 4: Simplify right side
    6,780.59x = 36,952,245.07
  5. Step 5: Solve for x
    x = 36,952,245.07/6,780.59
  6. Step 6: Final answer
    x = 5,449.71

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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.