Home / 2,104.17-3,156-1,282.23

Finding the Fourth Proportional to 2,104.17, 3,156 and 1,282.23

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Solution

The fourth proportional to 2,104.17, 3,156 and 1,282.23 is: 1,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.17 : 3,156 = 1,282.23 : x
  2. Step 2: Convert to fraction form
    2,104.17/3,156 = 1,282.23/x
  3. Step 3: Cross multiply
    2,104.17x = 3,156 × 1,282.23
  4. Step 4: Simplify right side
    2,104.17x = 4,046,717.88
  5. Step 5: Solve for x
    x = 4,046,717.88/2,104.17
  6. Step 6: Final answer
    x = 1,923.19

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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.