Home / 3,874.32-5,812.14-1,412.58

Finding the Fourth Proportional to 3,874.32, 5,812.14 and 1,412.58

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Solution

The fourth proportional to 3,874.32, 5,812.14 and 1,412.58 is: 2,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.32 : 5,812.14 = 1,412.58 : x
  2. Step 2: Convert to fraction form
    3,874.32/5,812.14 = 1,412.58/x
  3. Step 3: Cross multiply
    3,874.32x = 5,812.14 × 1,412.58
  4. Step 4: Simplify right side
    3,874.32x = 8,210,112.72
  5. Step 5: Solve for x
    x = 8,210,112.72/3,874.32
  6. Step 6: Final answer
    x = 2,119.11

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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.