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Finding the Fourth Proportional to 2,138.54, 3,206.06 and 951.71

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Solution

The fourth proportional to 2,138.54, 3,206.06 and 951.71 is: 1,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.54 : 3,206.06 = 951.71 : x
  2. Step 2: Convert to fraction form
    2,138.54/3,206.06 = 951.71/x
  3. Step 3: Cross multiply
    2,138.54x = 3,206.06 × 951.71
  4. Step 4: Simplify right side
    2,138.54x = 3,051,218.57
  5. Step 5: Solve for x
    x = 3,051,218.57/2,138.54
  6. Step 6: Final answer
    x = 1,426.78

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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.