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Finding the Fourth Proportional to 2,138.16, 2,951.16 and 1,206.96

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Solution

The fourth proportional to 2,138.16, 2,951.16 and 1,206.96 is: 1,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.16 : 2,951.16 = 1,206.96 : x
  2. Step 2: Convert to fraction form
    2,138.16/2,951.16 = 1,206.96/x
  3. Step 3: Cross multiply
    2,138.16x = 2,951.16 × 1,206.96
  4. Step 4: Simplify right side
    2,138.16x = 3,561,932.07
  5. Step 5: Solve for x
    x = 3,561,932.07/2,138.16
  6. Step 6: Final answer
    x = 1,665.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.