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Finding the Fourth Proportional to 3,913.25, 5,869.87 and 991.79

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Solution

The fourth proportional to 3,913.25, 5,869.87 and 991.79 is: 1,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.25 : 5,869.87 = 991.79 : x
  2. Step 2: Convert to fraction form
    3,913.25/5,869.87 = 991.79/x
  3. Step 3: Cross multiply
    3,913.25x = 5,869.87 × 991.79
  4. Step 4: Simplify right side
    3,913.25x = 5,821,649.02
  5. Step 5: Solve for x
    x = 5,821,649.02/3,913.25
  6. Step 6: Final answer
    x = 1,487.68

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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.