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Finding the Fourth Proportional to 9,202.50, 13,770.90 and 7,974.12

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Solution

The fourth proportional to 9,202.50, 13,770.90 and 7,974.12 is: 11,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.50 : 13,770.90 = 7,974.12 : x
  2. Step 2: Convert to fraction form
    9,202.50/13,770.90 = 7,974.12/x
  3. Step 3: Cross multiply
    9,202.50x = 13,770.90 × 7,974.12
  4. Step 4: Simplify right side
    9,202.50x = 109,810,809.11
  5. Step 5: Solve for x
    x = 109,810,809.11/9,202.50
  6. Step 6: Final answer
    x = 11,932.71

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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.