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Finding the Fourth Proportional to 3,909.71, 5,864.58 and 1,961.46

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Solution

The fourth proportional to 3,909.71, 5,864.58 and 1,961.46 is: 2,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.71 : 5,864.58 = 1,961.46 : x
  2. Step 2: Convert to fraction form
    3,909.71/5,864.58 = 1,961.46/x
  3. Step 3: Cross multiply
    3,909.71x = 5,864.58 × 1,961.46
  4. Step 4: Simplify right side
    3,909.71x = 11,503,139.09
  5. Step 5: Solve for x
    x = 11,503,139.09/3,909.71
  6. Step 6: Final answer
    x = 2,942.20

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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.