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Finding the Fourth Proportional to 6,853.88, 10,280.88 and 1,659.76

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Solution

The fourth proportional to 6,853.88, 10,280.88 and 1,659.76 is: 2,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.88 : 10,280.88 = 1,659.76 : x
  2. Step 2: Convert to fraction form
    6,853.88/10,280.88 = 1,659.76/x
  3. Step 3: Cross multiply
    6,853.88x = 10,280.88 × 1,659.76
  4. Step 4: Simplify right side
    6,853.88x = 17,063,793.39
  5. Step 5: Solve for x
    x = 17,063,793.39/6,853.88
  6. Step 6: Final answer
    x = 2,489.65

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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.