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Finding the Fourth Proportional to 12,179.42, 16,808.07 and 6,874.13

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Solution

The fourth proportional to 12,179.42, 16,808.07 and 6,874.13 is: 9,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.42 : 16,808.07 = 6,874.13 : x
  2. Step 2: Convert to fraction form
    12,179.42/16,808.07 = 6,874.13/x
  3. Step 3: Cross multiply
    12,179.42x = 16,808.07 × 6,874.13
  4. Step 4: Simplify right side
    12,179.42x = 115,540,774.19
  5. Step 5: Solve for x
    x = 115,540,774.19/12,179.42
  6. Step 6: Final answer
    x = 9,486.56

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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.