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Finding the Fourth Proportional to 5,400, 7,452.38 and 3,042.14

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Solution

The fourth proportional to 5,400, 7,452.38 and 3,042.14 is: 4,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400 : 7,452.38 = 3,042.14 : x
  2. Step 2: Convert to fraction form
    5,400/7,452.38 = 3,042.14/x
  3. Step 3: Cross multiply
    5,400x = 7,452.38 × 3,042.14
  4. Step 4: Simplify right side
    5,400x = 22,671,195.56
  5. Step 5: Solve for x
    x = 22,671,195.56/5,400
  6. Step 6: Final answer
    x = 4,198.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.