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Finding the Fourth Proportional to 6,449.69, 9,691.14 and 6,269.06

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Solution

The fourth proportional to 6,449.69, 9,691.14 and 6,269.06 is: 9,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.69 : 9,691.14 = 6,269.06 : x
  2. Step 2: Convert to fraction form
    6,449.69/9,691.14 = 6,269.06/x
  3. Step 3: Cross multiply
    6,449.69x = 9,691.14 × 6,269.06
  4. Step 4: Simplify right side
    6,449.69x = 60,754,338.13
  5. Step 5: Solve for x
    x = 60,754,338.13/6,449.69
  6. Step 6: Final answer
    x = 9,419.73

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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.