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Finding the Fourth Proportional to 3,912.83, 5,869.44 and 991.16

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Solution

The fourth proportional to 3,912.83, 5,869.44 and 991.16 is: 1,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.83 : 5,869.44 = 991.16 : x
  2. Step 2: Convert to fraction form
    3,912.83/5,869.44 = 991.16/x
  3. Step 3: Cross multiply
    3,912.83x = 5,869.44 × 991.16
  4. Step 4: Simplify right side
    3,912.83x = 5,817,519.85
  5. Step 5: Solve for x
    x = 5,817,519.85/3,912.83
  6. Step 6: Final answer
    x = 1,486.78

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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.