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Finding the Fourth Proportional to 2,786.78, 4,159.90 and 2,660.42

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Solution

The fourth proportional to 2,786.78, 4,159.90 and 2,660.42 is: 3,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.78 : 4,159.90 = 2,660.42 : x
  2. Step 2: Convert to fraction form
    2,786.78/4,159.90 = 2,660.42/x
  3. Step 3: Cross multiply
    2,786.78x = 4,159.90 × 2,660.42
  4. Step 4: Simplify right side
    2,786.78x = 11,067,081.16
  5. Step 5: Solve for x
    x = 11,067,081.16/2,786.78
  6. Step 6: Final answer
    x = 3,971.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.