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Finding the Fourth Proportional to 8,138.25, 11,230.79 and 4,412.25

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Solution

The fourth proportional to 8,138.25, 11,230.79 and 4,412.25 is: 6,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.25 : 11,230.79 = 4,412.25 : x
  2. Step 2: Convert to fraction form
    8,138.25/11,230.79 = 4,412.25/x
  3. Step 3: Cross multiply
    8,138.25x = 11,230.79 × 4,412.25
  4. Step 4: Simplify right side
    8,138.25x = 49,553,031.12
  5. Step 5: Solve for x
    x = 49,553,031.12/8,138.25
  6. Step 6: Final answer
    x = 6,088.91

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Half 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.