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Finding the Fourth Proportional to 2,309.54, 3,464.91 and 1,139.49

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Solution

The fourth proportional to 2,309.54, 3,464.91 and 1,139.49 is: 1,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.54 : 3,464.91 = 1,139.49 : x
  2. Step 2: Convert to fraction form
    2,309.54/3,464.91 = 1,139.49/x
  3. Step 3: Cross multiply
    2,309.54x = 3,464.91 × 1,139.49
  4. Step 4: Simplify right side
    2,309.54x = 3,948,230.30
  5. Step 5: Solve for x
    x = 3,948,230.30/2,309.54
  6. Step 6: Final answer
    x = 1,709.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.