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Finding the Fourth Proportional to 5,211.57, 7,191.93 and 2,853.66

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Solution

The fourth proportional to 5,211.57, 7,191.93 and 2,853.66 is: 3,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.57 : 7,191.93 = 2,853.66 : x
  2. Step 2: Convert to fraction form
    5,211.57/7,191.93 = 2,853.66/x
  3. Step 3: Cross multiply
    5,211.57x = 7,191.93 × 2,853.66
  4. Step 4: Simplify right side
    5,211.57x = 20,523,322.96
  5. Step 5: Solve for x
    x = 20,523,322.96/5,211.57
  6. Step 6: Final answer
    x = 3,938.03

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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.