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Finding the Fourth Proportional to 2,591.99, 3,887.41 and 742.69

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Solution

The fourth proportional to 2,591.99, 3,887.41 and 742.69 is: 1,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.99 : 3,887.41 = 742.69 : x
  2. Step 2: Convert to fraction form
    2,591.99/3,887.41 = 742.69/x
  3. Step 3: Cross multiply
    2,591.99x = 3,887.41 × 742.69
  4. Step 4: Simplify right side
    2,591.99x = 2,887,143.54
  5. Step 5: Solve for x
    x = 2,887,143.54/2,591.99
  6. Step 6: Final answer
    x = 1,113.87

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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.