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Finding the Fourth Proportional to 11,089.84, 16,638 and 4,164.88

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Solution

The fourth proportional to 11,089.84, 16,638 and 4,164.88 is: 6,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089.84 : 16,638 = 4,164.88 : x
  2. Step 2: Convert to fraction form
    11,089.84/16,638 = 4,164.88/x
  3. Step 3: Cross multiply
    11,089.84x = 16,638 × 4,164.88
  4. Step 4: Simplify right side
    11,089.84x = 69,295,190.25
  5. Step 5: Solve for x
    x = 69,295,190.25/11,089.84
  6. Step 6: Final answer
    x = 6,248.53

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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.