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Finding the Fourth Proportional to 3,782.75, 5,672.08 and 1,591.04

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Solution

The fourth proportional to 3,782.75, 5,672.08 and 1,591.04 is: 2,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.75 : 5,672.08 = 1,591.04 : x
  2. Step 2: Convert to fraction form
    3,782.75/5,672.08 = 1,591.04/x
  3. Step 3: Cross multiply
    3,782.75x = 5,672.08 × 1,591.04
  4. Step 4: Simplify right side
    3,782.75x = 9,024,513.38
  5. Step 5: Solve for x
    x = 9,024,513.38/3,782.75
  6. Step 6: Final answer
    x = 2,385.70

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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.