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Finding the Fourth Proportional to 5,287.28, 7,921.33 and 3,207.80

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Solution

The fourth proportional to 5,287.28, 7,921.33 and 3,207.80 is: 4,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.28 : 7,921.33 = 3,207.80 : x
  2. Step 2: Convert to fraction form
    5,287.28/7,921.33 = 3,207.80/x
  3. Step 3: Cross multiply
    5,287.28x = 7,921.33 × 3,207.80
  4. Step 4: Simplify right side
    5,287.28x = 25,410,054.16
  5. Step 5: Solve for x
    x = 25,410,054.16/5,287.28
  6. Step 6: Final answer
    x = 4,805.89

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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.