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Finding the Fourth Proportional to 6,449.54, 9,657.87 and 4,251.60

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Solution

The fourth proportional to 6,449.54, 9,657.87 and 4,251.60 is: 6,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.54 : 9,657.87 = 4,251.60 : x
  2. Step 2: Convert to fraction form
    6,449.54/9,657.87 = 4,251.60/x
  3. Step 3: Cross multiply
    6,449.54x = 9,657.87 × 4,251.60
  4. Step 4: Simplify right side
    6,449.54x = 41,061,400.09
  5. Step 5: Solve for x
    x = 41,061,400.09/6,449.54
  6. Step 6: Final answer
    x = 6,366.57

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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.