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Finding the Fourth Proportional to 5,643.82, 7,789.36 and 3,221.19

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Solution

The fourth proportional to 5,643.82, 7,789.36 and 3,221.19 is: 4,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.82 : 7,789.36 = 3,221.19 : x
  2. Step 2: Convert to fraction form
    5,643.82/7,789.36 = 3,221.19/x
  3. Step 3: Cross multiply
    5,643.82x = 7,789.36 × 3,221.19
  4. Step 4: Simplify right side
    5,643.82x = 25,091,008.54
  5. Step 5: Solve for x
    x = 25,091,008.54/5,643.82
  6. Step 6: Final answer
    x = 4,445.75

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Double scale
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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.