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Finding the Fourth Proportional to 3,309.48, 4,964.28 and 2,691.66

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Solution

The fourth proportional to 3,309.48, 4,964.28 and 2,691.66 is: 4,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.48 : 4,964.28 = 2,691.66 : x
  2. Step 2: Convert to fraction form
    3,309.48/4,964.28 = 2,691.66/x
  3. Step 3: Cross multiply
    3,309.48x = 4,964.28 × 2,691.66
  4. Step 4: Simplify right side
    3,309.48x = 13,362,153.90
  5. Step 5: Solve for x
    x = 13,362,153.90/3,309.48
  6. Step 6: Final answer
    x = 4,037.54

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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.