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Finding the Fourth Proportional to 3,174.90, 4,763.16 and 1,859.78

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Solution

The fourth proportional to 3,174.90, 4,763.16 and 1,859.78 is: 2,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.90 : 4,763.16 = 1,859.78 : x
  2. Step 2: Convert to fraction form
    3,174.90/4,763.16 = 1,859.78/x
  3. Step 3: Cross multiply
    3,174.90x = 4,763.16 × 1,859.78
  4. Step 4: Simplify right side
    3,174.90x = 8,858,405.89
  5. Step 5: Solve for x
    x = 8,858,405.89/3,174.90
  6. Step 6: Final answer
    x = 2,790.14

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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.