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Finding the Fourth Proportional to 3,751.20, 5,627.76 and 1,442.08

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Solution

The fourth proportional to 3,751.20, 5,627.76 and 1,442.08 is: 2,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.20 : 5,627.76 = 1,442.08 : x
  2. Step 2: Convert to fraction form
    3,751.20/5,627.76 = 1,442.08/x
  3. Step 3: Cross multiply
    3,751.20x = 5,627.76 × 1,442.08
  4. Step 4: Simplify right side
    3,751.20x = 8,115,680.14
  5. Step 5: Solve for x
    x = 8,115,680.14/3,751.20
  6. Step 6: Final answer
    x = 2,163.49

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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.