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Finding the Fourth Proportional to 3,861.42, 5,793.21 and 1,668.66

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Solution

The fourth proportional to 3,861.42, 5,793.21 and 1,668.66 is: 2,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.42 : 5,793.21 = 1,668.66 : x
  2. Step 2: Convert to fraction form
    3,861.42/5,793.21 = 1,668.66/x
  3. Step 3: Cross multiply
    3,861.42x = 5,793.21 × 1,668.66
  4. Step 4: Simplify right side
    3,861.42x = 9,666,897.80
  5. Step 5: Solve for x
    x = 9,666,897.80/3,861.42
  6. Step 6: Final answer
    x = 2,503.46

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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.