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Finding the Fourth Proportional to 11,208, 16,797.84 and 9,817.92

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Solution

The fourth proportional to 11,208, 16,797.84 and 9,817.92 is: 14,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208 : 16,797.84 = 9,817.92 : x
  2. Step 2: Convert to fraction form
    11,208/16,797.84 = 9,817.92/x
  3. Step 3: Cross multiply
    11,208x = 16,797.84 × 9,817.92
  4. Step 4: Simplify right side
    11,208x = 164,919,849.29
  5. Step 5: Solve for x
    x = 164,919,849.29/11,208
  6. Step 6: Final answer
    x = 14,714.48

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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.