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Finding the Fourth Proportional to 5,686, 7,847 and 3,202.16

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Solution

The fourth proportional to 5,686, 7,847 and 3,202.16 is: 4,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686 : 7,847 = 3,202.16 : x
  2. Step 2: Convert to fraction form
    5,686/7,847 = 3,202.16/x
  3. Step 3: Cross multiply
    5,686x = 7,847 × 3,202.16
  4. Step 4: Simplify right side
    5,686x = 25,127,349.52
  5. Step 5: Solve for x
    x = 25,127,349.52/5,686
  6. Step 6: Final answer
    x = 4,419.16

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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.