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Finding the Fourth Proportional to 3,882.72, 5,824.08 and 1,285.84

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Solution

The fourth proportional to 3,882.72, 5,824.08 and 1,285.84 is: 1,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.72 : 5,824.08 = 1,285.84 : x
  2. Step 2: Convert to fraction form
    3,882.72/5,824.08 = 1,285.84/x
  3. Step 3: Cross multiply
    3,882.72x = 5,824.08 × 1,285.84
  4. Step 4: Simplify right side
    3,882.72x = 7,488,835.03
  5. Step 5: Solve for x
    x = 7,488,835.03/3,882.72
  6. Step 6: Final answer
    x = 1,928.76

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Double scale
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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.