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Finding the Fourth Proportional to 12,311.78, 16,990.16 and 6,722.78

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Solution

The fourth proportional to 12,311.78, 16,990.16 and 6,722.78 is: 9,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.78 : 16,990.16 = 6,722.78 : x
  2. Step 2: Convert to fraction form
    12,311.78/16,990.16 = 6,722.78/x
  3. Step 3: Cross multiply
    12,311.78x = 16,990.16 × 6,722.78
  4. Step 4: Simplify right side
    12,311.78x = 114,221,107.84
  5. Step 5: Solve for x
    x = 114,221,107.84/12,311.78
  6. Step 6: Final answer
    x = 9,277.38

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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.