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Finding the Fourth Proportional to 5,211.41, 7,820.24 and 2,747.97

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Solution

The fourth proportional to 5,211.41, 7,820.24 and 2,747.97 is: 4,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.41 : 7,820.24 = 2,747.97 : x
  2. Step 2: Convert to fraction form
    5,211.41/7,820.24 = 2,747.97/x
  3. Step 3: Cross multiply
    5,211.41x = 7,820.24 × 2,747.97
  4. Step 4: Simplify right side
    5,211.41x = 21,489,771.17
  5. Step 5: Solve for x
    x = 21,489,771.17/5,211.41
  6. Step 6: Final answer
    x = 4,123.60

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1.5x scale

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.