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Finding the Fourth Proportional to 10,991.49, 16,487 and 2,671.55

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Solution

The fourth proportional to 10,991.49, 16,487 and 2,671.55 is: 4,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.49 : 16,487 = 2,671.55 : x
  2. Step 2: Convert to fraction form
    10,991.49/16,487 = 2,671.55/x
  3. Step 3: Cross multiply
    10,991.49x = 16,487 × 2,671.55
  4. Step 4: Simplify right side
    10,991.49x = 44,045,844.85
  5. Step 5: Solve for x
    x = 44,045,844.85/10,991.49
  6. Step 6: Final answer
    x = 4,007.27

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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.