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Finding the Fourth Proportional to 5,226, 7,211.88 and 2,868.14

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Solution

The fourth proportional to 5,226, 7,211.88 and 2,868.14 is: 3,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226 : 7,211.88 = 2,868.14 : x
  2. Step 2: Convert to fraction form
    5,226/7,211.88 = 2,868.14/x
  3. Step 3: Cross multiply
    5,226x = 7,211.88 × 2,868.14
  4. Step 4: Simplify right side
    5,226x = 20,684,645.44
  5. Step 5: Solve for x
    x = 20,684,645.44/5,226
  6. Step 6: Final answer
    x = 3,958.03

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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.