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Finding the Fourth Proportional to 10,889.80, 16,335.32 and 3,098

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Solution

The fourth proportional to 10,889.80, 16,335.32 and 3,098 is: 4,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.80 : 16,335.32 = 3,098 : x
  2. Step 2: Convert to fraction form
    10,889.80/16,335.32 = 3,098/x
  3. Step 3: Cross multiply
    10,889.80x = 16,335.32 × 3,098
  4. Step 4: Simplify right side
    10,889.80x = 50,606,821.36
  5. Step 5: Solve for x
    x = 50,606,821.36/10,889.80
  6. Step 6: Final answer
    x = 4,647.18

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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.