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Finding the Fourth Proportional to 5,290.97, 7,935.14 and 2,171.86

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Solution

The fourth proportional to 5,290.97, 7,935.14 and 2,171.86 is: 3,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.97 : 7,935.14 = 2,171.86 : x
  2. Step 2: Convert to fraction form
    5,290.97/7,935.14 = 2,171.86/x
  3. Step 3: Cross multiply
    5,290.97x = 7,935.14 × 2,171.86
  4. Step 4: Simplify right side
    5,290.97x = 17,233,998.75
  5. Step 5: Solve for x
    x = 17,233,998.75/5,290.97
  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.