Home / 2,105.13-3,162.26-1,283.90

Finding the Fourth Proportional to 2,105.13, 3,162.26 and 1,283.90

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Solution

The fourth proportional to 2,105.13, 3,162.26 and 1,283.90 is: 1,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.13 : 3,162.26 = 1,283.90 : x
  2. Step 2: Convert to fraction form
    2,105.13/3,162.26 = 1,283.90/x
  3. Step 3: Cross multiply
    2,105.13x = 3,162.26 × 1,283.90
  4. Step 4: Simplify right side
    2,105.13x = 4,060,003.38
  5. Step 5: Solve for x
    x = 4,060,003.38/2,105.13
  6. Step 6: Final answer
    x = 1,928.62

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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.