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Finding the Fourth Proportional to 5,270.61, 7,273.16 and 2,912.61

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Solution

The fourth proportional to 5,270.61, 7,273.16 and 2,912.61 is: 4,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.61 : 7,273.16 = 2,912.61 : x
  2. Step 2: Convert to fraction form
    5,270.61/7,273.16 = 2,912.61/x
  3. Step 3: Cross multiply
    5,270.61x = 7,273.16 × 2,912.61
  4. Step 4: Simplify right side
    5,270.61x = 21,183,827.62
  5. Step 5: Solve for x
    x = 21,183,827.62/5,270.61
  6. Step 6: Final answer
    x = 4,019.24

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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.