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Finding the Fourth Proportional to 8,791.76, 13,188.84 and 2,947.04

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Solution

The fourth proportional to 8,791.76, 13,188.84 and 2,947.04 is: 4,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,791.76 : 13,188.84 = 2,947.04 : x
  2. Step 2: Convert to fraction form
    8,791.76/13,188.84 = 2,947.04/x
  3. Step 3: Cross multiply
    8,791.76x = 13,188.84 × 2,947.04
  4. Step 4: Simplify right side
    8,791.76x = 38,868,039.03
  5. Step 5: Solve for x
    x = 38,868,039.03/8,791.76
  6. Step 6: Final answer
    x = 4,420.96

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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.