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Finding the Fourth Proportional to 3,991.16, 5,977.08 and 3,402.81

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Solution

The fourth proportional to 3,991.16, 5,977.08 and 3,402.81 is: 5,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.16 : 5,977.08 = 3,402.81 : x
  2. Step 2: Convert to fraction form
    3,991.16/5,977.08 = 3,402.81/x
  3. Step 3: Cross multiply
    3,991.16x = 5,977.08 × 3,402.81
  4. Step 4: Simplify right side
    3,991.16x = 20,338,867.59
  5. Step 5: Solve for x
    x = 20,338,867.59/3,991.16
  6. Step 6: Final answer
    x = 5,095.98

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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.