Home / 11,224-16,824.64-5,384.80

Finding the Fourth Proportional to 11,224, 16,824.64 and 5,384.80

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Solution

The fourth proportional to 11,224, 16,824.64 and 5,384.80 is: 8,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224 : 16,824.64 = 5,384.80 : x
  2. Step 2: Convert to fraction form
    11,224/16,824.64 = 5,384.80/x
  3. Step 3: Cross multiply
    11,224x = 16,824.64 × 5,384.80
  4. Step 4: Simplify right side
    11,224x = 90,597,321.47
  5. Step 5: Solve for x
    x = 90,597,321.47/11,224
  6. Step 6: Final answer
    x = 8,071.75

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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.