Home / 3,186-4,781.42-1,237.12

Finding the Fourth Proportional to 3,186, 4,781.42 and 1,237.12

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Solution

The fourth proportional to 3,186, 4,781.42 and 1,237.12 is: 1,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 4,781.42 = 1,237.12 : x
  2. Step 2: Convert to fraction form
    3,186/4,781.42 = 1,237.12/x
  3. Step 3: Cross multiply
    3,186x = 4,781.42 × 1,237.12
  4. Step 4: Simplify right side
    3,186x = 5,915,190.31
  5. Step 5: Solve for x
    x = 5,915,190.31/3,186
  6. Step 6: Final answer
    x = 1,856.62

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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.