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Finding the Fourth Proportional to 5,174, 7,761.73 and 1,662.83

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Solution

The fourth proportional to 5,174, 7,761.73 and 1,662.83 is: 2,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174 : 7,761.73 = 1,662.83 : x
  2. Step 2: Convert to fraction form
    5,174/7,761.73 = 1,662.83/x
  3. Step 3: Cross multiply
    5,174x = 7,761.73 × 1,662.83
  4. Step 4: Simplify right side
    5,174x = 12,906,437.50
  5. Step 5: Solve for x
    x = 12,906,437.50/5,174
  6. Step 6: Final answer
    x = 2,494.48

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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.