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Finding the Fourth Proportional to 5,789.06, 7,987.89 and 3,431.78

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Solution

The fourth proportional to 5,789.06, 7,987.89 and 3,431.78 is: 4,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.06 : 7,987.89 = 3,431.78 : x
  2. Step 2: Convert to fraction form
    5,789.06/7,987.89 = 3,431.78/x
  3. Step 3: Cross multiply
    5,789.06x = 7,987.89 × 3,431.78
  4. Step 4: Simplify right side
    5,789.06x = 27,412,681.14
  5. Step 5: Solve for x
    x = 27,412,681.14/5,789.06
  6. Step 6: Final answer
    x = 4,735.26

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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.