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Finding the Fourth Proportional to 2,452.32, 3,678.72 and 721.44

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Solution

The fourth proportional to 2,452.32, 3,678.72 and 721.44 is: 1,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.32 : 3,678.72 = 721.44 : x
  2. Step 2: Convert to fraction form
    2,452.32/3,678.72 = 721.44/x
  3. Step 3: Cross multiply
    2,452.32x = 3,678.72 × 721.44
  4. Step 4: Simplify right side
    2,452.32x = 2,653,975.76
  5. Step 5: Solve for x
    x = 2,653,975.76/2,452.32
  6. Step 6: Final answer
    x = 1,082.23

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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.