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Finding the Fourth Proportional to 8,200.54, 11,318.19 and 4,843.13

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Solution

The fourth proportional to 8,200.54, 11,318.19 and 4,843.13 is: 6,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.54 : 11,318.19 = 4,843.13 : x
  2. Step 2: Convert to fraction form
    8,200.54/11,318.19 = 4,843.13/x
  3. Step 3: Cross multiply
    8,200.54x = 11,318.19 × 4,843.13
  4. Step 4: Simplify right side
    8,200.54x = 54,815,465.53
  5. Step 5: Solve for x
    x = 54,815,465.53/8,200.54
  6. Step 6: Final answer
    x = 6,684.37

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Double scale
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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.