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Finding the Fourth Proportional to 11,224, 16,836 and 4,298.68

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Solution

The fourth proportional to 11,224, 16,836 and 4,298.68 is: 6,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224 : 16,836 = 4,298.68 : x
  2. Step 2: Convert to fraction form
    11,224/16,836 = 4,298.68/x
  3. Step 3: Cross multiply
    11,224x = 16,836 × 4,298.68
  4. Step 4: Simplify right side
    11,224x = 72,372,576.48
  5. Step 5: Solve for x
    x = 72,372,576.48/11,224
  6. Step 6: Final answer
    x = 6,448.02

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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.