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Finding the Fourth Proportional to 7,481.18, 11,220.15 and 2,801

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Solution

The fourth proportional to 7,481.18, 11,220.15 and 2,801 is: 4,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.18 : 11,220.15 = 2,801 : x
  2. Step 2: Convert to fraction form
    7,481.18/11,220.15 = 2,801/x
  3. Step 3: Cross multiply
    7,481.18x = 11,220.15 × 2,801
  4. Step 4: Simplify right side
    7,481.18x = 31,427,640.15
  5. Step 5: Solve for x
    x = 31,427,640.15/7,481.18
  6. Step 6: Final answer
    x = 4,200.89

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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.