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Finding the Fourth Proportional to 2,721.60, 4,082.88 and 872.16

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Solution

The fourth proportional to 2,721.60, 4,082.88 and 872.16 is: 1,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.60 : 4,082.88 = 872.16 : x
  2. Step 2: Convert to fraction form
    2,721.60/4,082.88 = 872.16/x
  3. Step 3: Cross multiply
    2,721.60x = 4,082.88 × 872.16
  4. Step 4: Simplify right side
    2,721.60x = 3,560,924.62
  5. Step 5: Solve for x
    x = 3,560,924.62/2,721.60
  6. Step 6: Final answer
    x = 1,308.39

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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.