Home / 3,874.14-5,809.38-1,407.24

Finding the Fourth Proportional to 3,874.14, 5,809.38 and 1,407.24

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Solution

The fourth proportional to 3,874.14, 5,809.38 and 1,407.24 is: 2,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.14 : 5,809.38 = 1,407.24 : x
  2. Step 2: Convert to fraction form
    3,874.14/5,809.38 = 1,407.24/x
  3. Step 3: Cross multiply
    3,874.14x = 5,809.38 × 1,407.24
  4. Step 4: Simplify right side
    3,874.14x = 8,175,191.91
  5. Step 5: Solve for x
    x = 8,175,191.91/3,874.14
  6. Step 6: Final answer
    x = 2,110.20

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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.