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Finding the Fourth Proportional to 3,959.71, 5,464.17 and 2,191.21

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Solution

The fourth proportional to 3,959.71, 5,464.17 and 2,191.21 is: 3,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.71 : 5,464.17 = 2,191.21 : x
  2. Step 2: Convert to fraction form
    3,959.71/5,464.17 = 2,191.21/x
  3. Step 3: Cross multiply
    3,959.71x = 5,464.17 × 2,191.21
  4. Step 4: Simplify right side
    3,959.71x = 11,973,143.95
  5. Step 5: Solve for x
    x = 11,973,143.95/3,959.71
  6. Step 6: Final answer
    x = 3,023.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.