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Finding the Fourth Proportional to 2,440.87, 3,661.49 and 881.80

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Solution

The fourth proportional to 2,440.87, 3,661.49 and 881.80 is: 1,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.87 : 3,661.49 = 881.80 : x
  2. Step 2: Convert to fraction form
    2,440.87/3,661.49 = 881.80/x
  3. Step 3: Cross multiply
    2,440.87x = 3,661.49 × 881.80
  4. Step 4: Simplify right side
    2,440.87x = 3,228,701.88
  5. Step 5: Solve for x
    x = 3,228,701.88/2,440.87
  6. Step 6: Final answer
    x = 1,322.77

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