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Finding the Fourth Proportional to 3,174.78, 4,762.48 and 834.82

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Solution

The fourth proportional to 3,174.78, 4,762.48 and 834.82 is: 1,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.78 : 4,762.48 = 834.82 : x
  2. Step 2: Convert to fraction form
    3,174.78/4,762.48 = 834.82/x
  3. Step 3: Cross multiply
    3,174.78x = 4,762.48 × 834.82
  4. Step 4: Simplify right side
    3,174.78x = 3,975,813.55
  5. Step 5: Solve for x
    x = 3,975,813.55/3,174.78
  6. Step 6: Final answer
    x = 1,252.31

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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.