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Finding the Fourth Proportional to 7,421.52, 11,138.76 and 3,961.20

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Solution

The fourth proportional to 7,421.52, 11,138.76 and 3,961.20 is: 5,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.52 : 11,138.76 = 3,961.20 : x
  2. Step 2: Convert to fraction form
    7,421.52/11,138.76 = 3,961.20/x
  3. Step 3: Cross multiply
    7,421.52x = 11,138.76 × 3,961.20
  4. Step 4: Simplify right side
    7,421.52x = 44,122,856.11
  5. Step 5: Solve for x
    x = 44,122,856.11/7,421.52
  6. Step 6: Final answer
    x = 5,945.26

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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.