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Finding the Fourth Proportional to 8,149.10, 11,229.62 and 5,784.62

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Solution

The fourth proportional to 8,149.10, 11,229.62 and 5,784.62 is: 7,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.10 : 11,229.62 = 5,784.62 : x
  2. Step 2: Convert to fraction form
    8,149.10/11,229.62 = 5,784.62/x
  3. Step 3: Cross multiply
    8,149.10x = 11,229.62 × 5,784.62
  4. Step 4: Simplify right side
    8,149.10x = 64,959,084.44
  5. Step 5: Solve for x
    x = 64,959,084.44/8,149.10
  6. Step 6: Final answer
    x = 7,971.32

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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.