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Finding the Fourth Proportional to 5,290.56, 7,932.90 and 2,169.72

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Solution

The fourth proportional to 5,290.56, 7,932.90 and 2,169.72 is: 3,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.56 : 7,932.90 = 2,169.72 : x
  2. Step 2: Convert to fraction form
    5,290.56/7,932.90 = 2,169.72/x
  3. Step 3: Cross multiply
    5,290.56x = 7,932.90 × 2,169.72
  4. Step 4: Simplify right side
    5,290.56x = 17,212,171.79
  5. Step 5: Solve for x
    x = 17,212,171.79/5,290.56
  6. Step 6: Final answer
    x = 3,253.37

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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.