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Finding the Fourth Proportional to 5,789.69, 7,989.84 and 3,431.38

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Solution

The fourth proportional to 5,789.69, 7,989.84 and 3,431.38 is: 4,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.69 : 7,989.84 = 3,431.38 : x
  2. Step 2: Convert to fraction form
    5,789.69/7,989.84 = 3,431.38/x
  3. Step 3: Cross multiply
    5,789.69x = 7,989.84 × 3,431.38
  4. Step 4: Simplify right side
    5,789.69x = 27,416,177.18
  5. Step 5: Solve for x
    x = 27,416,177.18/5,789.69
  6. Step 6: Final answer
    x = 4,735.34

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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.