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Finding the Fourth Proportional to 6,449.49, 9,718.17 and 5,305.11

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Solution

The fourth proportional to 6,449.49, 9,718.17 and 5,305.11 is: 7,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.49 : 9,718.17 = 5,305.11 : x
  2. Step 2: Convert to fraction form
    6,449.49/9,718.17 = 5,305.11/x
  3. Step 3: Cross multiply
    6,449.49x = 9,718.17 × 5,305.11
  4. Step 4: Simplify right side
    6,449.49x = 51,555,960.85
  5. Step 5: Solve for x
    x = 51,555,960.85/6,449.49
  6. Step 6: Final answer
    x = 7,993.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.