Home / 3,874.19-5,812.83-1,409.18

Finding the Fourth Proportional to 3,874.19, 5,812.83 and 1,409.18

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Solution

The fourth proportional to 3,874.19, 5,812.83 and 1,409.18 is: 2,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.19 : 5,812.83 = 1,409.18 : x
  2. Step 2: Convert to fraction form
    3,874.19/5,812.83 = 1,409.18/x
  3. Step 3: Cross multiply
    3,874.19x = 5,812.83 × 1,409.18
  4. Step 4: Simplify right side
    3,874.19x = 8,191,294.72
  5. Step 5: Solve for x
    x = 8,191,294.72/3,874.19
  6. Step 6: Final answer
    x = 2,114.33

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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.