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Finding the Fourth Proportional to 6,459.26, 8,912.38 and 3,805.70

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Solution

The fourth proportional to 6,459.26, 8,912.38 and 3,805.70 is: 5,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.26 : 8,912.38 = 3,805.70 : x
  2. Step 2: Convert to fraction form
    6,459.26/8,912.38 = 3,805.70/x
  3. Step 3: Cross multiply
    6,459.26x = 8,912.38 × 3,805.70
  4. Step 4: Simplify right side
    6,459.26x = 33,917,844.57
  5. Step 5: Solve for x
    x = 33,917,844.57/6,459.26
  6. Step 6: Final answer
    x = 5,251.04

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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.