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Finding the Fourth Proportional to 20,674.76, 30,993.66 and 7,517.86

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Solution

The fourth proportional to 20,674.76, 30,993.66 and 7,517.86 is: 11,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.76 : 30,993.66 = 7,517.86 : x
  2. Step 2: Convert to fraction form
    20,674.76/30,993.66 = 7,517.86/x
  3. Step 3: Cross multiply
    20,674.76x = 30,993.66 × 7,517.86
  4. Step 4: Simplify right side
    20,674.76x = 233,005,919.28
  5. Step 5: Solve for x
    x = 233,005,919.28/20,674.76
  6. Step 6: Final answer
    x = 11,270.07

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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.