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Finding the Fourth Proportional to 3,224.78, 4,448.48 and 1,965.53

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Solution

The fourth proportional to 3,224.78, 4,448.48 and 1,965.53 is: 2,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.78 : 4,448.48 = 1,965.53 : x
  2. Step 2: Convert to fraction form
    3,224.78/4,448.48 = 1,965.53/x
  3. Step 3: Cross multiply
    3,224.78x = 4,448.48 × 1,965.53
  4. Step 4: Simplify right side
    3,224.78x = 8,743,588.82
  5. Step 5: Solve for x
    x = 8,743,588.82/3,224.78
  6. Step 6: Final answer
    x = 2,711.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.