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Finding the Fourth Proportional to 2,504.85, 3,757.83 and 861.36

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Solution

The fourth proportional to 2,504.85, 3,757.83 and 861.36 is: 1,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.85 : 3,757.83 = 861.36 : x
  2. Step 2: Convert to fraction form
    2,504.85/3,757.83 = 861.36/x
  3. Step 3: Cross multiply
    2,504.85x = 3,757.83 × 861.36
  4. Step 4: Simplify right side
    2,504.85x = 3,236,844.45
  5. Step 5: Solve for x
    x = 3,236,844.45/2,504.85
  6. Step 6: Final answer
    x = 1,292.23

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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.