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Finding the Fourth Proportional to 2,650.32, 3,653.64 and 1,861.92

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Solution

The fourth proportional to 2,650.32, 3,653.64 and 1,861.92 is: 2,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.32 : 3,653.64 = 1,861.92 : x
  2. Step 2: Convert to fraction form
    2,650.32/3,653.64 = 1,861.92/x
  3. Step 3: Cross multiply
    2,650.32x = 3,653.64 × 1,861.92
  4. Step 4: Simplify right side
    2,650.32x = 6,802,785.39
  5. Step 5: Solve for x
    x = 6,802,785.39/2,650.32
  6. Step 6: Final answer
    x = 2,566.78

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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.