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Finding the Fourth Proportional to 6,902.64, 10,353.87 and 1,972.26

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Solution

The fourth proportional to 6,902.64, 10,353.87 and 1,972.26 is: 2,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.64 : 10,353.87 = 1,972.26 : x
  2. Step 2: Convert to fraction form
    6,902.64/10,353.87 = 1,972.26/x
  3. Step 3: Cross multiply
    6,902.64x = 10,353.87 × 1,972.26
  4. Step 4: Simplify right side
    6,902.64x = 20,420,523.65
  5. Step 5: Solve for x
    x = 20,420,523.65/6,902.64
  6. Step 6: Final answer
    x = 2,958.36

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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.