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Finding the Fourth Proportional to 12,198.84, 16,833.47 and 6,821.25

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Solution

The fourth proportional to 12,198.84, 16,833.47 and 6,821.25 is: 9,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.84 : 16,833.47 = 6,821.25 : x
  2. Step 2: Convert to fraction form
    12,198.84/16,833.47 = 6,821.25/x
  3. Step 3: Cross multiply
    12,198.84x = 16,833.47 × 6,821.25
  4. Step 4: Simplify right side
    12,198.84x = 114,825,273.13
  5. Step 5: Solve for x
    x = 114,825,273.13/12,198.84
  6. Step 6: Final answer
    x = 9,412.80

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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.