Home / 3,874.20-5,812.64-2,121.08

Finding the Fourth Proportional to 3,874.20, 5,812.64 and 2,121.08

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Solution

The fourth proportional to 3,874.20, 5,812.64 and 2,121.08 is: 3,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.20 : 5,812.64 = 2,121.08 : x
  2. Step 2: Convert to fraction form
    3,874.20/5,812.64 = 2,121.08/x
  3. Step 3: Cross multiply
    3,874.20x = 5,812.64 × 2,121.08
  4. Step 4: Simplify right side
    3,874.20x = 12,329,074.45
  5. Step 5: Solve for x
    x = 12,329,074.45/3,874.20
  6. Step 6: Final answer
    x = 3,182.35

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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.