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Finding the Fourth Proportional to 2,651.20, 3,655.20 and 2,201.92

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Solution

The fourth proportional to 2,651.20, 3,655.20 and 2,201.92 is: 3,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.20 : 3,655.20 = 2,201.92 : x
  2. Step 2: Convert to fraction form
    2,651.20/3,655.20 = 2,201.92/x
  3. Step 3: Cross multiply
    2,651.20x = 3,655.20 × 2,201.92
  4. Step 4: Simplify right side
    2,651.20x = 8,048,457.98
  5. Step 5: Solve for x
    x = 8,048,457.98/2,651.20
  6. Step 6: Final answer
    x = 3,035.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.