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Finding the Fourth Proportional to 6,221, 9,327.72 and 2,520.20

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Solution

The fourth proportional to 6,221, 9,327.72 and 2,520.20 is: 3,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221 : 9,327.72 = 2,520.20 : x
  2. Step 2: Convert to fraction form
    6,221/9,327.72 = 2,520.20/x
  3. Step 3: Cross multiply
    6,221x = 9,327.72 × 2,520.20
  4. Step 4: Simplify right side
    6,221x = 23,507,719.94
  5. Step 5: Solve for x
    x = 23,507,719.94/6,221
  6. Step 6: Final answer
    x = 3,778.77

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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.