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Finding the Fourth Proportional to 15,162, 20,922.75 and 8,355.80

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Solution

The fourth proportional to 15,162, 20,922.75 and 8,355.80 is: 11,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162 : 20,922.75 = 8,355.80 : x
  2. Step 2: Convert to fraction form
    15,162/20,922.75 = 8,355.80/x
  3. Step 3: Cross multiply
    15,162x = 20,922.75 × 8,355.80
  4. Step 4: Simplify right side
    15,162x = 174,826,314.45
  5. Step 5: Solve for x
    x = 174,826,314.45/15,162
  6. Step 6: Final answer
    x = 11,530.56

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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.