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Finding the Fourth Proportional to 8,102.43, 11,183.43 and 5,276.86

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Solution

The fourth proportional to 8,102.43, 11,183.43 and 5,276.86 is: 7,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.43 : 11,183.43 = 5,276.86 : x
  2. Step 2: Convert to fraction form
    8,102.43/11,183.43 = 5,276.86/x
  3. Step 3: Cross multiply
    8,102.43x = 11,183.43 × 5,276.86
  4. Step 4: Simplify right side
    8,102.43x = 59,013,386.26
  5. Step 5: Solve for x
    x = 59,013,386.26/8,102.43
  6. Step 6: Final answer
    x = 7,283.42

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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.