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Finding the Fourth Proportional to 3,892.59, 5,839.11 and 1,119.24

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Solution

The fourth proportional to 3,892.59, 5,839.11 and 1,119.24 is: 1,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.59 : 5,839.11 = 1,119.24 : x
  2. Step 2: Convert to fraction form
    3,892.59/5,839.11 = 1,119.24/x
  3. Step 3: Cross multiply
    3,892.59x = 5,839.11 × 1,119.24
  4. Step 4: Simplify right side
    3,892.59x = 6,535,365.48
  5. Step 5: Solve for x
    x = 6,535,365.48/3,892.59
  6. Step 6: Final answer
    x = 1,678.92

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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.