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Finding the Fourth Proportional to 8,121.75, 11,202.75 and 4,978.14

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Solution

The fourth proportional to 8,121.75, 11,202.75 and 4,978.14 is: 6,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.75 : 11,202.75 = 4,978.14 : x
  2. Step 2: Convert to fraction form
    8,121.75/11,202.75 = 4,978.14/x
  3. Step 3: Cross multiply
    8,121.75x = 11,202.75 × 4,978.14
  4. Step 4: Simplify right side
    8,121.75x = 55,768,857.89
  5. Step 5: Solve for x
    x = 55,768,857.89/8,121.75
  6. Step 6: Final answer
    x = 6,866.61

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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.