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Finding the Fourth Proportional to 5,291.32, 7,936.42 and 2,171.66

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Solution

The fourth proportional to 5,291.32, 7,936.42 and 2,171.66 is: 3,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.32 : 7,936.42 = 2,171.66 : x
  2. Step 2: Convert to fraction form
    5,291.32/7,936.42 = 2,171.66/x
  3. Step 3: Cross multiply
    5,291.32x = 7,936.42 × 2,171.66
  4. Step 4: Simplify right side
    5,291.32x = 17,235,168.89
  5. Step 5: Solve for x
    x = 17,235,168.89/5,291.32
  6. Step 6: Final answer
    x = 3,257.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.