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Finding the Fourth Proportional to 2,660.76, 3,991.77 and 881.91

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Solution

The fourth proportional to 2,660.76, 3,991.77 and 881.91 is: 1,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.76 : 3,991.77 = 881.91 : x
  2. Step 2: Convert to fraction form
    2,660.76/3,991.77 = 881.91/x
  3. Step 3: Cross multiply
    2,660.76x = 3,991.77 × 881.91
  4. Step 4: Simplify right side
    2,660.76x = 3,520,381.88
  5. Step 5: Solve for x
    x = 3,520,381.88/2,660.76
  6. Step 6: Final answer
    x = 1,323.07

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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.