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Finding the Fourth Proportional to 12,186, 16,810.20 and 9,198.72

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Solution

The fourth proportional to 12,186, 16,810.20 and 9,198.72 is: 12,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186 : 16,810.20 = 9,198.72 : x
  2. Step 2: Convert to fraction form
    12,186/16,810.20 = 9,198.72/x
  3. Step 3: Cross multiply
    12,186x = 16,810.20 × 9,198.72
  4. Step 4: Simplify right side
    12,186x = 154,632,322.94
  5. Step 5: Solve for x
    x = 154,632,322.94/12,186
  6. Step 6: Final answer
    x = 12,689.34

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Double scale
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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.