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Finding the Fourth Proportional to 3,891.28, 5,837.01 and 1,294.42

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Solution

The fourth proportional to 3,891.28, 5,837.01 and 1,294.42 is: 1,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.28 : 5,837.01 = 1,294.42 : x
  2. Step 2: Convert to fraction form
    3,891.28/5,837.01 = 1,294.42/x
  3. Step 3: Cross multiply
    3,891.28x = 5,837.01 × 1,294.42
  4. Step 4: Simplify right side
    3,891.28x = 7,555,542.48
  5. Step 5: Solve for x
    x = 7,555,542.48/3,891.28
  6. Step 6: Final answer
    x = 1,941.66

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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.