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Finding the Fourth Proportional to 6,691.89, 9,234.83 and 3,707.70

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Solution

The fourth proportional to 6,691.89, 9,234.83 and 3,707.70 is: 5,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.89 : 9,234.83 = 3,707.70 : x
  2. Step 2: Convert to fraction form
    6,691.89/9,234.83 = 3,707.70/x
  3. Step 3: Cross multiply
    6,691.89x = 9,234.83 × 3,707.70
  4. Step 4: Simplify right side
    6,691.89x = 34,239,960.65
  5. Step 5: Solve for x
    x = 34,239,960.65/6,691.89
  6. Step 6: Final answer
    x = 5,116.64

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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.