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Finding the Fourth Proportional to 3,174, 4,761.30 and 865.50

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Solution

The fourth proportional to 3,174, 4,761.30 and 865.50 is: 1,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 4,761.30 = 865.50 : x
  2. Step 2: Convert to fraction form
    3,174/4,761.30 = 865.50/x
  3. Step 3: Cross multiply
    3,174x = 4,761.30 × 865.50
  4. Step 4: Simplify right side
    3,174x = 4,120,905.15
  5. Step 5: Solve for x
    x = 4,120,905.15/3,174
  6. Step 6: Final answer
    x = 1,298.33

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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.