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Finding the Fourth Proportional to 7,956.99, 11,912.42 and 7,112.78

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Solution

The fourth proportional to 7,956.99, 11,912.42 and 7,112.78 is: 10,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.99 : 11,912.42 = 7,112.78 : x
  2. Step 2: Convert to fraction form
    7,956.99/11,912.42 = 7,112.78/x
  3. Step 3: Cross multiply
    7,956.99x = 11,912.42 × 7,112.78
  4. Step 4: Simplify right side
    7,956.99x = 84,730,327.60
  5. Step 5: Solve for x
    x = 84,730,327.60/7,956.99
  6. Step 6: Final answer
    x = 10,648.54

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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.