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Finding the Fourth Proportional to 3,861.68, 5,791.96 and 1,264.72

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Solution

The fourth proportional to 3,861.68, 5,791.96 and 1,264.72 is: 1,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.68 : 5,791.96 = 1,264.72 : x
  2. Step 2: Convert to fraction form
    3,861.68/5,791.96 = 1,264.72/x
  3. Step 3: Cross multiply
    3,861.68x = 5,791.96 × 1,264.72
  4. Step 4: Simplify right side
    3,861.68x = 7,325,207.65
  5. Step 5: Solve for x
    x = 7,325,207.65/3,861.68
  6. Step 6: Final answer
    x = 1,896.90

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1.5x scale

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.