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Finding the Fourth Proportional to 8,971.16, 13,452.21 and 2,729.97

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Solution

The fourth proportional to 8,971.16, 13,452.21 and 2,729.97 is: 4,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.16 : 13,452.21 = 2,729.97 : x
  2. Step 2: Convert to fraction form
    8,971.16/13,452.21 = 2,729.97/x
  3. Step 3: Cross multiply
    8,971.16x = 13,452.21 × 2,729.97
  4. Step 4: Simplify right side
    8,971.16x = 36,724,129.73
  5. Step 5: Solve for x
    x = 36,724,129.73/8,971.16
  6. Step 6: Final answer
    x = 4,093.58

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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.