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Finding the Fourth Proportional to 2,149.97, 2,966.96 and 1,403.48

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Solution

The fourth proportional to 2,149.97, 2,966.96 and 1,403.48 is: 1,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.97 : 2,966.96 = 1,403.48 : x
  2. Step 2: Convert to fraction form
    2,149.97/2,966.96 = 1,403.48/x
  3. Step 3: Cross multiply
    2,149.97x = 2,966.96 × 1,403.48
  4. Step 4: Simplify right side
    2,149.97x = 4,164,079.95
  5. Step 5: Solve for x
    x = 4,164,079.95/2,149.97
  6. Step 6: Final answer
    x = 1,936.81

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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.