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Finding the Fourth Proportional to 10,991.20, 16,482 and 3,199.84

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Solution

The fourth proportional to 10,991.20, 16,482 and 3,199.84 is: 4,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.20 : 16,482 = 3,199.84 : x
  2. Step 2: Convert to fraction form
    10,991.20/16,482 = 3,199.84/x
  3. Step 3: Cross multiply
    10,991.20x = 16,482 × 3,199.84
  4. Step 4: Simplify right side
    10,991.20x = 52,739,762.88
  5. Step 5: Solve for x
    x = 52,739,762.88/10,991.20
  6. Step 6: Final answer
    x = 4,798.36

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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.