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Finding the Fourth Proportional to 12,195, 16,822.62 and 8,209.32

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Solution

The fourth proportional to 12,195, 16,822.62 and 8,209.32 is: 11,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195 : 16,822.62 = 8,209.32 : x
  2. Step 2: Convert to fraction form
    12,195/16,822.62 = 8,209.32/x
  3. Step 3: Cross multiply
    12,195x = 16,822.62 × 8,209.32
  4. Step 4: Simplify right side
    12,195x = 138,102,270.82
  5. Step 5: Solve for x
    x = 138,102,270.82/12,195
  6. Step 6: Final answer
    x = 11,324.50

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1.5x scale

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.