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Finding the Fourth Proportional to 8,984.56, 13,478.28 and 3,791.20

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Solution

The fourth proportional to 8,984.56, 13,478.28 and 3,791.20 is: 5,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.56 : 13,478.28 = 3,791.20 : x
  2. Step 2: Convert to fraction form
    8,984.56/13,478.28 = 3,791.20/x
  3. Step 3: Cross multiply
    8,984.56x = 13,478.28 × 3,791.20
  4. Step 4: Simplify right side
    8,984.56x = 51,098,855.14
  5. Step 5: Solve for x
    x = 51,098,855.14/8,984.56
  6. Step 6: Final answer
    x = 5,687.41

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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.