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Finding the Fourth Proportional to 6,902.57, 10,353.80 and 1,972.20

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Solution

The fourth proportional to 6,902.57, 10,353.80 and 1,972.20 is: 2,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.57 : 10,353.80 = 1,972.20 : x
  2. Step 2: Convert to fraction form
    6,902.57/10,353.80 = 1,972.20/x
  3. Step 3: Cross multiply
    6,902.57x = 10,353.80 × 1,972.20
  4. Step 4: Simplify right side
    6,902.57x = 20,419,754.50
  5. Step 5: Solve for x
    x = 20,419,754.50/6,902.57
  6. Step 6: Final answer
    x = 2,958.28

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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.