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Finding the Fourth Proportional to 3,309.54, 4,965.09 and 969.59

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Solution

The fourth proportional to 3,309.54, 4,965.09 and 969.59 is: 1,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.54 : 4,965.09 = 969.59 : x
  2. Step 2: Convert to fraction form
    3,309.54/4,965.09 = 969.59/x
  3. Step 3: Cross multiply
    3,309.54x = 4,965.09 × 969.59
  4. Step 4: Simplify right side
    3,309.54x = 4,814,101.61
  5. Step 5: Solve for x
    x = 4,814,101.61/3,309.54
  6. Step 6: Final answer
    x = 1,454.61

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1.5x scale

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.