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Finding the Fourth Proportional to 5,226, 7,212.12 and 2,868.24

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Solution

The fourth proportional to 5,226, 7,212.12 and 2,868.24 is: 3,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226 : 7,212.12 = 2,868.24 : x
  2. Step 2: Convert to fraction form
    5,226/7,212.12 = 2,868.24/x
  3. Step 3: Cross multiply
    5,226x = 7,212.12 × 2,868.24
  4. Step 4: Simplify right side
    5,226x = 20,686,091.07
  5. Step 5: Solve for x
    x = 20,686,091.07/5,226
  6. Step 6: Final answer
    x = 3,958.30

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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.