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Finding the Fourth Proportional to 3,191.77, 4,403.90 and 1,865.90

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Solution

The fourth proportional to 3,191.77, 4,403.90 and 1,865.90 is: 2,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.77 : 4,403.90 = 1,865.90 : x
  2. Step 2: Convert to fraction form
    3,191.77/4,403.90 = 1,865.90/x
  3. Step 3: Cross multiply
    3,191.77x = 4,403.90 × 1,865.90
  4. Step 4: Simplify right side
    3,191.77x = 8,217,230.17
  5. Step 5: Solve for x
    x = 8,217,230.17/3,191.77
  6. Step 6: Final answer
    x = 2,574.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.