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Finding the Fourth Proportional to 3,309.66, 4,969.98 and 2,766.06

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Solution

The fourth proportional to 3,309.66, 4,969.98 and 2,766.06 is: 4,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.66 : 4,969.98 = 2,766.06 : x
  2. Step 2: Convert to fraction form
    3,309.66/4,969.98 = 2,766.06/x
  3. Step 3: Cross multiply
    3,309.66x = 4,969.98 × 2,766.06
  4. Step 4: Simplify right side
    3,309.66x = 13,747,262.88
  5. Step 5: Solve for x
    x = 13,747,262.88/3,309.66
  6. Step 6: Final answer
    x = 4,153.68

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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.