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Finding the Fourth Proportional to 1,966.64, 2,713.86 and 1,180.74

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Solution

The fourth proportional to 1,966.64, 2,713.86 and 1,180.74 is: 1,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.64 : 2,713.86 = 1,180.74 : x
  2. Step 2: Convert to fraction form
    1,966.64/2,713.86 = 1,180.74/x
  3. Step 3: Cross multiply
    1,966.64x = 2,713.86 × 1,180.74
  4. Step 4: Simplify right side
    1,966.64x = 3,204,363.06
  5. Step 5: Solve for x
    x = 3,204,363.06/1,966.64
  6. Step 6: Final answer
    x = 1,629.36

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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.