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Finding the Fourth Proportional to 6,456.44, 9,686.28 and 1,839.44

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Solution

The fourth proportional to 6,456.44, 9,686.28 and 1,839.44 is: 2,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.44 : 9,686.28 = 1,839.44 : x
  2. Step 2: Convert to fraction form
    6,456.44/9,686.28 = 1,839.44/x
  3. Step 3: Cross multiply
    6,456.44x = 9,686.28 × 1,839.44
  4. Step 4: Simplify right side
    6,456.44x = 17,817,330.88
  5. Step 5: Solve for x
    x = 17,817,330.88/6,456.44
  6. Step 6: Final answer
    x = 2,759.62

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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.