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Finding the Fourth Proportional to 11,218.66, 16,809.39 and 6,822.82

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Solution

The fourth proportional to 11,218.66, 16,809.39 and 6,822.82 is: 10,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.66 : 16,809.39 = 6,822.82 : x
  2. Step 2: Convert to fraction form
    11,218.66/16,809.39 = 6,822.82/x
  3. Step 3: Cross multiply
    11,218.66x = 16,809.39 × 6,822.82
  4. Step 4: Simplify right side
    11,218.66x = 114,687,442.28
  5. Step 5: Solve for x
    x = 114,687,442.28/11,218.66
  6. Step 6: Final answer
    x = 10,222.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.