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Finding the Fourth Proportional to 2,581.52, 3,872.22 and 633.72

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Solution

The fourth proportional to 2,581.52, 3,872.22 and 633.72 is: 950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.52 : 3,872.22 = 633.72 : x
  2. Step 2: Convert to fraction form
    2,581.52/3,872.22 = 633.72/x
  3. Step 3: Cross multiply
    2,581.52x = 3,872.22 × 633.72
  4. Step 4: Simplify right side
    2,581.52x = 2,453,903.26
  5. Step 5: Solve for x
    x = 2,453,903.26/2,581.52
  6. Step 6: Final answer
    x = 950.57

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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.