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Finding the Fourth Proportional to 3,751.57, 5,626 and 1,285.73

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Solution

The fourth proportional to 3,751.57, 5,626 and 1,285.73 is: 1,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.57 : 5,626 = 1,285.73 : x
  2. Step 2: Convert to fraction form
    3,751.57/5,626 = 1,285.73/x
  3. Step 3: Cross multiply
    3,751.57x = 5,626 × 1,285.73
  4. Step 4: Simplify right side
    3,751.57x = 7,233,516.98
  5. Step 5: Solve for x
    x = 7,233,516.98/3,751.57
  6. Step 6: Final answer
    x = 1,928.13

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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.