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Finding the Fourth Proportional to 12,186.20, 16,815.74 and 6,808.20

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Solution

The fourth proportional to 12,186.20, 16,815.74 and 6,808.20 is: 9,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.20 : 16,815.74 = 6,808.20 : x
  2. Step 2: Convert to fraction form
    12,186.20/16,815.74 = 6,808.20/x
  3. Step 3: Cross multiply
    12,186.20x = 16,815.74 × 6,808.20
  4. Step 4: Simplify right side
    12,186.20x = 114,484,887.03
  5. Step 5: Solve for x
    x = 114,484,887.03/12,186.20
  6. Step 6: Final answer
    x = 9,394.64

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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.