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Finding the Fourth Proportional to 8,361.82, 11,540.84 and 5,708.26

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Solution

The fourth proportional to 8,361.82, 11,540.84 and 5,708.26 is: 7,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.82 : 11,540.84 = 5,708.26 : x
  2. Step 2: Convert to fraction form
    8,361.82/11,540.84 = 5,708.26/x
  3. Step 3: Cross multiply
    8,361.82x = 11,540.84 × 5,708.26
  4. Step 4: Simplify right side
    8,361.82x = 65,878,115.34
  5. Step 5: Solve for x
    x = 65,878,115.34/8,361.82
  6. Step 6: Final answer
    x = 7,878.44

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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.