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Finding the Fourth Proportional to 8,286.57, 11,435.13 and 4,747.32

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Solution

The fourth proportional to 8,286.57, 11,435.13 and 4,747.32 is: 6,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.57 : 11,435.13 = 4,747.32 : x
  2. Step 2: Convert to fraction form
    8,286.57/11,435.13 = 4,747.32/x
  3. Step 3: Cross multiply
    8,286.57x = 11,435.13 × 4,747.32
  4. Step 4: Simplify right side
    8,286.57x = 54,286,221.35
  5. Step 5: Solve for x
    x = 54,286,221.35/8,286.57
  6. Step 6: Final answer
    x = 6,551.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.