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Finding the Fourth Proportional to 2,604.97, 3,909.08 and 874.81

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Solution

The fourth proportional to 2,604.97, 3,909.08 and 874.81 is: 1,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.97 : 3,909.08 = 874.81 : x
  2. Step 2: Convert to fraction form
    2,604.97/3,909.08 = 874.81/x
  3. Step 3: Cross multiply
    2,604.97x = 3,909.08 × 874.81
  4. Step 4: Simplify right side
    2,604.97x = 3,419,702.27
  5. Step 5: Solve for x
    x = 3,419,702.27/2,604.97
  6. Step 6: Final answer
    x = 1,312.76

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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.