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Finding the Fourth Proportional to 11,396.98, 15,727.78 and 6,361.14

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Solution

The fourth proportional to 11,396.98, 15,727.78 and 6,361.14 is: 8,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.98 : 15,727.78 = 6,361.14 : x
  2. Step 2: Convert to fraction form
    11,396.98/15,727.78 = 6,361.14/x
  3. Step 3: Cross multiply
    11,396.98x = 15,727.78 × 6,361.14
  4. Step 4: Simplify right side
    11,396.98x = 100,046,610.47
  5. Step 5: Solve for x
    x = 100,046,610.47/11,396.98
  6. Step 6: Final answer
    x = 8,778.34

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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.