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Finding the Fourth Proportional to 3,199, 4,414.20 and 1,871.77

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Solution

The fourth proportional to 3,199, 4,414.20 and 1,871.77 is: 2,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199 : 4,414.20 = 1,871.77 : x
  2. Step 2: Convert to fraction form
    3,199/4,414.20 = 1,871.77/x
  3. Step 3: Cross multiply
    3,199x = 4,414.20 × 1,871.77
  4. Step 4: Simplify right side
    3,199x = 8,262,367.13
  5. Step 5: Solve for x
    x = 8,262,367.13/3,199
  6. Step 6: Final answer
    x = 2,582.80

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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.