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Finding the Fourth Proportional to 5,100.96, 7,651.44 and 2,911.32

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Solution

The fourth proportional to 5,100.96, 7,651.44 and 2,911.32 is: 4,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.96 : 7,651.44 = 2,911.32 : x
  2. Step 2: Convert to fraction form
    5,100.96/7,651.44 = 2,911.32/x
  3. Step 3: Cross multiply
    5,100.96x = 7,651.44 × 2,911.32
  4. Step 4: Simplify right side
    5,100.96x = 22,275,790.30
  5. Step 5: Solve for x
    x = 22,275,790.30/5,100.96
  6. Step 6: Final answer
    x = 4,366.98

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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.