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Finding the Fourth Proportional to 12,109.97, 16,709.94 and 6,803.78

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Solution

The fourth proportional to 12,109.97, 16,709.94 and 6,803.78 is: 9,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.97 : 16,709.94 = 6,803.78 : x
  2. Step 2: Convert to fraction form
    12,109.97/16,709.94 = 6,803.78/x
  3. Step 3: Cross multiply
    12,109.97x = 16,709.94 × 6,803.78
  4. Step 4: Simplify right side
    12,109.97x = 113,690,672.02
  5. Step 5: Solve for x
    x = 113,690,672.02/12,109.97
  6. Step 6: Final answer
    x = 9,388.19

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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.