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Finding the Fourth Proportional to 15,162, 20,923.62 and 8,874.48

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Solution

The fourth proportional to 15,162, 20,923.62 and 8,874.48 is: 12,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162 : 20,923.62 = 8,874.48 : x
  2. Step 2: Convert to fraction form
    15,162/20,923.62 = 8,874.48/x
  3. Step 3: Cross multiply
    15,162x = 20,923.62 × 8,874.48
  4. Step 4: Simplify right side
    15,162x = 185,686,247.22
  5. Step 5: Solve for x
    x = 185,686,247.22/15,162
  6. Step 6: Final answer
    x = 12,246.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.