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Finding the Fourth Proportional to 2,662.94, 3,994.41 and 932.06

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Solution

The fourth proportional to 2,662.94, 3,994.41 and 932.06 is: 1,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.94 : 3,994.41 = 932.06 : x
  2. Step 2: Convert to fraction form
    2,662.94/3,994.41 = 932.06/x
  3. Step 3: Cross multiply
    2,662.94x = 3,994.41 × 932.06
  4. Step 4: Simplify right side
    2,662.94x = 3,723,029.78
  5. Step 5: Solve for x
    x = 3,723,029.78/2,662.94
  6. Step 6: Final answer
    x = 1,398.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.