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Finding the Fourth Proportional to 12,162.94, 16,784.62 and 6,857.65

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Solution

The fourth proportional to 12,162.94, 16,784.62 and 6,857.65 is: 9,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.94 : 16,784.62 = 6,857.65 : x
  2. Step 2: Convert to fraction form
    12,162.94/16,784.62 = 6,857.65/x
  3. Step 3: Cross multiply
    12,162.94x = 16,784.62 × 6,857.65
  4. Step 4: Simplify right side
    12,162.94x = 115,103,049.34
  5. Step 5: Solve for x
    x = 115,103,049.34/12,162.94
  6. Step 6: Final answer
    x = 9,463.42

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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.