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Finding the Fourth Proportional to 8,200, 11,316.24 and 4,474.24

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Solution

The fourth proportional to 8,200, 11,316.24 and 4,474.24 is: 6,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 11,316.24 = 4,474.24 : x
  2. Step 2: Convert to fraction form
    8,200/11,316.24 = 4,474.24/x
  3. Step 3: Cross multiply
    8,200x = 11,316.24 × 4,474.24
  4. Step 4: Simplify right side
    8,200x = 50,631,573.66
  5. Step 5: Solve for x
    x = 50,631,573.66/8,200
  6. Step 6: Final answer
    x = 6,174.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.