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Finding the Fourth Proportional to 3,174, 4,380.12 and 1,776.78

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Solution

The fourth proportional to 3,174, 4,380.12 and 1,776.78 is: 2,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 4,380.12 = 1,776.78 : x
  2. Step 2: Convert to fraction form
    3,174/4,380.12 = 1,776.78/x
  3. Step 3: Cross multiply
    3,174x = 4,380.12 × 1,776.78
  4. Step 4: Simplify right side
    3,174x = 7,782,509.61
  5. Step 5: Solve for x
    x = 7,782,509.61/3,174
  6. Step 6: Final answer
    x = 2,451.96

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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.