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Finding the Fourth Proportional to 2,505.22, 3,756.87 and 861.46

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Solution

The fourth proportional to 2,505.22, 3,756.87 and 861.46 is: 1,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.22 : 3,756.87 = 861.46 : x
  2. Step 2: Convert to fraction form
    2,505.22/3,756.87 = 861.46/x
  3. Step 3: Cross multiply
    2,505.22x = 3,756.87 × 861.46
  4. Step 4: Simplify right side
    2,505.22x = 3,236,393.23
  5. Step 5: Solve for x
    x = 3,236,393.23/2,505.22
  6. Step 6: Final answer
    x = 1,291.86

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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.