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Finding the Fourth Proportional to 11,998.60, 17,978.46 and 7,313.56

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Solution

The fourth proportional to 11,998.60, 17,978.46 and 7,313.56 is: 10,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.60 : 17,978.46 = 7,313.56 : x
  2. Step 2: Convert to fraction form
    11,998.60/17,978.46 = 7,313.56/x
  3. Step 3: Cross multiply
    11,998.60x = 17,978.46 × 7,313.56
  4. Step 4: Simplify right side
    11,998.60x = 131,486,545.92
  5. Step 5: Solve for x
    x = 131,486,545.92/11,998.60
  6. Step 6: Final answer
    x = 10,958.49

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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.