Home / 4,121.97-6,182.90-1,002

Finding the Fourth Proportional to 4,121.97, 6,182.90 and 1,002

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Solution

The fourth proportional to 4,121.97, 6,182.90 and 1,002 is: 1,502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.97 : 6,182.90 = 1,002 : x
  2. Step 2: Convert to fraction form
    4,121.97/6,182.90 = 1,002/x
  3. Step 3: Cross multiply
    4,121.97x = 6,182.90 × 1,002
  4. Step 4: Simplify right side
    4,121.97x = 6,195,265.80
  5. Step 5: Solve for x
    x = 6,195,265.80/4,121.97
  6. Step 6: Final answer
    x = 1,502.99

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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.