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Finding the Fourth Proportional to 3,912.81, 5,869.26 and 991.04

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Solution

The fourth proportional to 3,912.81, 5,869.26 and 991.04 is: 1,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.81 : 5,869.26 = 991.04 : x
  2. Step 2: Convert to fraction form
    3,912.81/5,869.26 = 991.04/x
  3. Step 3: Cross multiply
    3,912.81x = 5,869.26 × 991.04
  4. Step 4: Simplify right side
    3,912.81x = 5,816,642.08
  5. Step 5: Solve for x
    x = 5,816,642.08/3,912.81
  6. Step 6: Final answer
    x = 1,486.57

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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.