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Finding the Fourth Proportional to 3,642.70, 5,468.10 and 2,824.60

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Solution

The fourth proportional to 3,642.70, 5,468.10 and 2,824.60 is: 4,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.70 : 5,468.10 = 2,824.60 : x
  2. Step 2: Convert to fraction form
    3,642.70/5,468.10 = 2,824.60/x
  3. Step 3: Cross multiply
    3,642.70x = 5,468.10 × 2,824.60
  4. Step 4: Simplify right side
    3,642.70x = 15,445,195.26
  5. Step 5: Solve for x
    x = 15,445,195.26/3,642.70
  6. Step 6: Final answer
    x = 4,240.04

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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.