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Finding the Fourth Proportional to 3,011.92, 4,517.56 and 820.88

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Solution

The fourth proportional to 3,011.92, 4,517.56 and 820.88 is: 1,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.92 : 4,517.56 = 820.88 : x
  2. Step 2: Convert to fraction form
    3,011.92/4,517.56 = 820.88/x
  3. Step 3: Cross multiply
    3,011.92x = 4,517.56 × 820.88
  4. Step 4: Simplify right side
    3,011.92x = 3,708,374.65
  5. Step 5: Solve for x
    x = 3,708,374.65/3,011.92
  6. Step 6: Final answer
    x = 1,231.23

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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.