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Finding the Fourth Proportional to 6,304.32, 9,456.48 and 1,687.68

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Solution

The fourth proportional to 6,304.32, 9,456.48 and 1,687.68 is: 2,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.32 : 9,456.48 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    6,304.32/9,456.48 = 1,687.68/x
  3. Step 3: Cross multiply
    6,304.32x = 9,456.48 × 1,687.68
  4. Step 4: Simplify right side
    6,304.32x = 15,959,512.17
  5. Step 5: Solve for x
    x = 15,959,512.17/6,304.32
  6. Step 6: Final answer
    x = 2,531.52

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Similar ratio
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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.