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Finding the Fourth Proportional to 2,149.66, 2,966.78 and 1,205.71

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Solution

The fourth proportional to 2,149.66, 2,966.78 and 1,205.71 is: 1,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.66 : 2,966.78 = 1,205.71 : x
  2. Step 2: Convert to fraction form
    2,149.66/2,966.78 = 1,205.71/x
  3. Step 3: Cross multiply
    2,149.66x = 2,966.78 × 1,205.71
  4. Step 4: Simplify right side
    2,149.66x = 3,577,076.31
  5. Step 5: Solve for x
    x = 3,577,076.31/2,149.66
  6. Step 6: Final answer
    x = 1,664.02

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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.