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Finding the Fourth Proportional to 3,750.92, 5,627 and 1,285.70

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Solution

The fourth proportional to 3,750.92, 5,627 and 1,285.70 is: 1,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.92 : 5,627 = 1,285.70 : x
  2. Step 2: Convert to fraction form
    3,750.92/5,627 = 1,285.70/x
  3. Step 3: Cross multiply
    3,750.92x = 5,627 × 1,285.70
  4. Step 4: Simplify right side
    3,750.92x = 7,234,633.90
  5. Step 5: Solve for x
    x = 7,234,633.90/3,750.92
  6. Step 6: Final answer
    x = 1,928.76

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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.