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Finding the Fourth Proportional to 5,277.64, 7,919.22 and 2,159.96

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Solution

The fourth proportional to 5,277.64, 7,919.22 and 2,159.96 is: 3,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.64 : 7,919.22 = 2,159.96 : x
  2. Step 2: Convert to fraction form
    5,277.64/7,919.22 = 2,159.96/x
  3. Step 3: Cross multiply
    5,277.64x = 7,919.22 × 2,159.96
  4. Step 4: Simplify right side
    5,277.64x = 17,105,198.43
  5. Step 5: Solve for x
    x = 17,105,198.43/5,277.64
  6. Step 6: Final answer
    x = 3,241.07

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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.