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Finding the Fourth Proportional to 6,459.92, 9,690.36 and 1,843.28

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Solution

The fourth proportional to 6,459.92, 9,690.36 and 1,843.28 is: 2,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.92 : 9,690.36 = 1,843.28 : x
  2. Step 2: Convert to fraction form
    6,459.92/9,690.36 = 1,843.28/x
  3. Step 3: Cross multiply
    6,459.92x = 9,690.36 × 1,843.28
  4. Step 4: Simplify right side
    6,459.92x = 17,862,046.78
  5. Step 5: Solve for x
    x = 17,862,046.78/6,459.92
  6. Step 6: Final answer
    x = 2,765.06

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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.