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Finding the Fourth Proportional to 5,174.46, 7,138.46 and 3,977.31

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Solution

The fourth proportional to 5,174.46, 7,138.46 and 3,977.31 is: 5,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.46 : 7,138.46 = 3,977.31 : x
  2. Step 2: Convert to fraction form
    5,174.46/7,138.46 = 3,977.31/x
  3. Step 3: Cross multiply
    5,174.46x = 7,138.46 × 3,977.31
  4. Step 4: Simplify right side
    5,174.46x = 28,391,848.46
  5. Step 5: Solve for x
    x = 28,391,848.46/5,174.46
  6. Step 6: Final answer
    x = 5,486.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.