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Finding the Fourth Proportional to 5,270.06, 7,274 and 3,855.80

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Solution

The fourth proportional to 5,270.06, 7,274 and 3,855.80 is: 5,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.06 : 7,274 = 3,855.80 : x
  2. Step 2: Convert to fraction form
    5,270.06/7,274 = 3,855.80/x
  3. Step 3: Cross multiply
    5,270.06x = 7,274 × 3,855.80
  4. Step 4: Simplify right side
    5,270.06x = 28,047,089.20
  5. Step 5: Solve for x
    x = 28,047,089.20/5,270.06
  6. Step 6: Final answer
    x = 5,321.97

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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.