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Finding the Fourth Proportional to 3,892.50, 5,839.02 and 1,919.16

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Solution

The fourth proportional to 3,892.50, 5,839.02 and 1,919.16 is: 2,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.50 : 5,839.02 = 1,919.16 : x
  2. Step 2: Convert to fraction form
    3,892.50/5,839.02 = 1,919.16/x
  3. Step 3: Cross multiply
    3,892.50x = 5,839.02 × 1,919.16
  4. Step 4: Simplify right side
    3,892.50x = 11,206,013.62
  5. Step 5: Solve for x
    x = 11,206,013.62/3,892.50
  6. Step 6: Final answer
    x = 2,878.87

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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.