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Finding the Fourth Proportional to 8,977.96, 13,469.10 and 2,821.96

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Solution

The fourth proportional to 8,977.96, 13,469.10 and 2,821.96 is: 4,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.96 : 13,469.10 = 2,821.96 : x
  2. Step 2: Convert to fraction form
    8,977.96/13,469.10 = 2,821.96/x
  3. Step 3: Cross multiply
    8,977.96x = 13,469.10 × 2,821.96
  4. Step 4: Simplify right side
    8,977.96x = 38,009,261.44
  5. Step 5: Solve for x
    x = 38,009,261.44/8,977.96
  6. Step 6: Final answer
    x = 4,233.62

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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.