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Finding the Fourth Proportional to 5,178.17, 7,766.62 and 1,480.73

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Solution

The fourth proportional to 5,178.17, 7,766.62 and 1,480.73 is: 2,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.17 : 7,766.62 = 1,480.73 : x
  2. Step 2: Convert to fraction form
    5,178.17/7,766.62 = 1,480.73/x
  3. Step 3: Cross multiply
    5,178.17x = 7,766.62 × 1,480.73
  4. Step 4: Simplify right side
    5,178.17x = 11,500,224.70
  5. Step 5: Solve for x
    x = 11,500,224.70/5,178.17
  6. Step 6: Final answer
    x = 2,220.90

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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.