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Finding the Fourth Proportional to 2,877.62, 3,969.47 and 1,991.88

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Solution

The fourth proportional to 2,877.62, 3,969.47 and 1,991.88 is: 2,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.62 : 3,969.47 = 1,991.88 : x
  2. Step 2: Convert to fraction form
    2,877.62/3,969.47 = 1,991.88/x
  3. Step 3: Cross multiply
    2,877.62x = 3,969.47 × 1,991.88
  4. Step 4: Simplify right side
    2,877.62x = 7,906,712.88
  5. Step 5: Solve for x
    x = 7,906,712.88/2,877.62
  6. Step 6: Final answer
    x = 2,747.66

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1.5x scale

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.