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Finding the Fourth Proportional to 5,221.76, 7,832.64 and 2,622.88

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Solution

The fourth proportional to 5,221.76, 7,832.64 and 2,622.88 is: 3,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.76 : 7,832.64 = 2,622.88 : x
  2. Step 2: Convert to fraction form
    5,221.76/7,832.64 = 2,622.88/x
  3. Step 3: Cross multiply
    5,221.76x = 7,832.64 × 2,622.88
  4. Step 4: Simplify right side
    5,221.76x = 20,544,035.64
  5. Step 5: Solve for x
    x = 20,544,035.64/5,221.76
  6. Step 6: Final answer
    x = 3,934.31

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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.