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Finding the Fourth Proportional to 3,458.58, 5,187.89 and 861.52

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Solution

The fourth proportional to 3,458.58, 5,187.89 and 861.52 is: 1,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.58 : 5,187.89 = 861.52 : x
  2. Step 2: Convert to fraction form
    3,458.58/5,187.89 = 861.52/x
  3. Step 3: Cross multiply
    3,458.58x = 5,187.89 × 861.52
  4. Step 4: Simplify right side
    3,458.58x = 4,469,460.18
  5. Step 5: Solve for x
    x = 4,469,460.18/3,458.58
  6. Step 6: Final answer
    x = 1,292.28

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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.