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Finding the Fourth Proportional to 3,941.70, 5,909.81 and 1,859.95

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Solution

The fourth proportional to 3,941.70, 5,909.81 and 1,859.95 is: 2,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.70 : 5,909.81 = 1,859.95 : x
  2. Step 2: Convert to fraction form
    3,941.70/5,909.81 = 1,859.95/x
  3. Step 3: Cross multiply
    3,941.70x = 5,909.81 × 1,859.95
  4. Step 4: Simplify right side
    3,941.70x = 10,991,926.42
  5. Step 5: Solve for x
    x = 10,991,926.42/3,941.70
  6. Step 6: Final answer
    x = 2,788.63

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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.