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Finding the Fourth Proportional to 3,874.39, 5,811.72 and 2,230.18

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Solution

The fourth proportional to 3,874.39, 5,811.72 and 2,230.18 is: 3,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.39 : 5,811.72 = 2,230.18 : x
  2. Step 2: Convert to fraction form
    3,874.39/5,811.72 = 2,230.18/x
  3. Step 3: Cross multiply
    3,874.39x = 5,811.72 × 2,230.18
  4. Step 4: Simplify right side
    3,874.39x = 12,961,181.71
  5. Step 5: Solve for x
    x = 12,961,181.71/3,874.39
  6. Step 6: Final answer
    x = 3,345.35

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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.