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Finding the Fourth Proportional to 8,827.47, 13,241.19 and 2,253.66

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Solution

The fourth proportional to 8,827.47, 13,241.19 and 2,253.66 is: 3,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.47 : 13,241.19 = 2,253.66 : x
  2. Step 2: Convert to fraction form
    8,827.47/13,241.19 = 2,253.66/x
  3. Step 3: Cross multiply
    8,827.47x = 13,241.19 × 2,253.66
  4. Step 4: Simplify right side
    8,827.47x = 29,841,074.05
  5. Step 5: Solve for x
    x = 29,841,074.05/8,827.47
  6. Step 6: Final answer
    x = 3,380.48

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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.