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Finding the Fourth Proportional to 3,309.47, 4,965.06 and 1,229.54

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Solution

The fourth proportional to 3,309.47, 4,965.06 and 1,229.54 is: 1,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.47 : 4,965.06 = 1,229.54 : x
  2. Step 2: Convert to fraction form
    3,309.47/4,965.06 = 1,229.54/x
  3. Step 3: Cross multiply
    3,309.47x = 4,965.06 × 1,229.54
  4. Step 4: Simplify right side
    3,309.47x = 6,104,749.38
  5. Step 5: Solve for x
    x = 6,104,749.38/3,309.47
  6. Step 6: Final answer
    x = 1,844.63

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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.