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Finding the Fourth Proportional to 11,217.60, 16,807.95 and 6,821.82

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Solution

The fourth proportional to 11,217.60, 16,807.95 and 6,821.82 is: 10,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.60 : 16,807.95 = 6,821.82 : x
  2. Step 2: Convert to fraction form
    11,217.60/16,807.95 = 6,821.82/x
  3. Step 3: Cross multiply
    11,217.60x = 16,807.95 × 6,821.82
  4. Step 4: Simplify right side
    11,217.60x = 114,660,809.47
  5. Step 5: Solve for x
    x = 114,660,809.47/11,217.60
  6. Step 6: Final answer
    x = 10,221.51

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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.