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Finding the Fourth Proportional to 10,908.80, 16,364.40 and 3,984.80

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Solution

The fourth proportional to 10,908.80, 16,364.40 and 3,984.80 is: 5,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.80 : 16,364.40 = 3,984.80 : x
  2. Step 2: Convert to fraction form
    10,908.80/16,364.40 = 3,984.80/x
  3. Step 3: Cross multiply
    10,908.80x = 16,364.40 × 3,984.80
  4. Step 4: Simplify right side
    10,908.80x = 65,208,861.12
  5. Step 5: Solve for x
    x = 65,208,861.12/10,908.80
  6. Step 6: Final answer
    x = 5,977.64

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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.