Home / 3,874.57-5,814.33-1,409.15

Finding the Fourth Proportional to 3,874.57, 5,814.33 and 1,409.15

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Solution

The fourth proportional to 3,874.57, 5,814.33 and 1,409.15 is: 2,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.57 : 5,814.33 = 1,409.15 : x
  2. Step 2: Convert to fraction form
    3,874.57/5,814.33 = 1,409.15/x
  3. Step 3: Cross multiply
    3,874.57x = 5,814.33 × 1,409.15
  4. Step 4: Simplify right side
    3,874.57x = 8,193,256.07
  5. Step 5: Solve for x
    x = 8,193,256.07/3,874.57
  6. Step 6: Final answer
    x = 2,114.63

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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.