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Finding the Fourth Proportional to 3,861.68, 5,791.10 and 1,264.01

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Solution

The fourth proportional to 3,861.68, 5,791.10 and 1,264.01 is: 1,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.68 : 5,791.10 = 1,264.01 : x
  2. Step 2: Convert to fraction form
    3,861.68/5,791.10 = 1,264.01/x
  3. Step 3: Cross multiply
    3,861.68x = 5,791.10 × 1,264.01
  4. Step 4: Simplify right side
    3,861.68x = 7,319,973.04
  5. Step 5: Solve for x
    x = 7,319,973.04/3,861.68
  6. Step 6: Final answer
    x = 1,895.54

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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.