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Finding the Fourth Proportional to 6,470.80, 9,691.62 and 3,868.30

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Solution

The fourth proportional to 6,470.80, 9,691.62 and 3,868.30 is: 5,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.80 : 9,691.62 = 3,868.30 : x
  2. Step 2: Convert to fraction form
    6,470.80/9,691.62 = 3,868.30/x
  3. Step 3: Cross multiply
    6,470.80x = 9,691.62 × 3,868.30
  4. Step 4: Simplify right side
    6,470.80x = 37,490,093.65
  5. Step 5: Solve for x
    x = 37,490,093.65/6,470.80
  6. Step 6: Final answer
    x = 5,793.73

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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.