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Finding the Fourth Proportional to 3,841.67, 5,762.57 and 1,650.42

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Solution

The fourth proportional to 3,841.67, 5,762.57 and 1,650.42 is: 2,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.67 : 5,762.57 = 1,650.42 : x
  2. Step 2: Convert to fraction form
    3,841.67/5,762.57 = 1,650.42/x
  3. Step 3: Cross multiply
    3,841.67x = 5,762.57 × 1,650.42
  4. Step 4: Simplify right side
    3,841.67x = 9,510,660.78
  5. Step 5: Solve for x
    x = 9,510,660.78/3,841.67
  6. Step 6: Final answer
    x = 2,475.66

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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.