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Finding the Fourth Proportional to 7,892.56, 11,837.40 and 3,211.44

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Solution

The fourth proportional to 7,892.56, 11,837.40 and 3,211.44 is: 4,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.56 : 11,837.40 = 3,211.44 : x
  2. Step 2: Convert to fraction form
    7,892.56/11,837.40 = 3,211.44/x
  3. Step 3: Cross multiply
    7,892.56x = 11,837.40 × 3,211.44
  4. Step 4: Simplify right side
    7,892.56x = 38,015,099.86
  5. Step 5: Solve for x
    x = 38,015,099.86/7,892.56
  6. Step 6: Final answer
    x = 4,816.57

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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.