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Finding the Fourth Proportional to 3,947.01, 5,451 and 3,002.82

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Solution

The fourth proportional to 3,947.01, 5,451 and 3,002.82 is: 4,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.01 : 5,451 = 3,002.82 : x
  2. Step 2: Convert to fraction form
    3,947.01/5,451 = 3,002.82/x
  3. Step 3: Cross multiply
    3,947.01x = 5,451 × 3,002.82
  4. Step 4: Simplify right side
    3,947.01x = 16,368,371.82
  5. Step 5: Solve for x
    x = 16,368,371.82/3,947.01
  6. Step 6: Final answer
    x = 4,147.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.