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Finding the Fourth Proportional to 3,121.44, 4,679.20 and 1,068

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Solution

The fourth proportional to 3,121.44, 4,679.20 and 1,068 is: 1,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.44 : 4,679.20 = 1,068 : x
  2. Step 2: Convert to fraction form
    3,121.44/4,679.20 = 1,068/x
  3. Step 3: Cross multiply
    3,121.44x = 4,679.20 × 1,068
  4. Step 4: Simplify right side
    3,121.44x = 4,997,385.60
  5. Step 5: Solve for x
    x = 4,997,385.60/3,121.44
  6. Step 6: Final answer
    x = 1,600.99

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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.