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Finding the Fourth Proportional to 3,642.57, 5,465.68 and 1,452.84

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Solution

The fourth proportional to 3,642.57, 5,465.68 and 1,452.84 is: 2,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.57 : 5,465.68 = 1,452.84 : x
  2. Step 2: Convert to fraction form
    3,642.57/5,465.68 = 1,452.84/x
  3. Step 3: Cross multiply
    3,642.57x = 5,465.68 × 1,452.84
  4. Step 4: Simplify right side
    3,642.57x = 7,940,734.40
  5. Step 5: Solve for x
    x = 7,940,734.40/3,642.57
  6. Step 6: Final answer
    x = 2,179.98

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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.