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Finding the Fourth Proportional to 10,221.12, 15,318 and 5,467.52

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Solution

The fourth proportional to 10,221.12, 15,318 and 5,467.52 is: 8,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.12 : 15,318 = 5,467.52 : x
  2. Step 2: Convert to fraction form
    10,221.12/15,318 = 5,467.52/x
  3. Step 3: Cross multiply
    10,221.12x = 15,318 × 5,467.52
  4. Step 4: Simplify right side
    10,221.12x = 83,751,471.36
  5. Step 5: Solve for x
    x = 83,751,471.36/10,221.12
  6. Step 6: Final answer
    x = 8,193.96

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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.