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Finding the Fourth Proportional to 2,201.86, 3,302.43 and 662.50

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Solution

The fourth proportional to 2,201.86, 3,302.43 and 662.50 is: 993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.86 : 3,302.43 = 662.50 : x
  2. Step 2: Convert to fraction form
    2,201.86/3,302.43 = 662.50/x
  3. Step 3: Cross multiply
    2,201.86x = 3,302.43 × 662.50
  4. Step 4: Simplify right side
    2,201.86x = 2,187,859.88
  5. Step 5: Solve for x
    x = 2,187,859.88/2,201.86
  6. Step 6: Final answer
    x = 993.64

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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.