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Finding the Fourth Proportional to 5,290.85, 7,933.44 and 2,169.92

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Solution

The fourth proportional to 5,290.85, 7,933.44 and 2,169.92 is: 3,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.85 : 7,933.44 = 2,169.92 : x
  2. Step 2: Convert to fraction form
    5,290.85/7,933.44 = 2,169.92/x
  3. Step 3: Cross multiply
    5,290.85x = 7,933.44 × 2,169.92
  4. Step 4: Simplify right side
    5,290.85x = 17,214,958.10
  5. Step 5: Solve for x
    x = 17,214,958.10/5,290.85
  6. Step 6: Final answer
    x = 3,253.72

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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.