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Finding the Fourth Proportional to 2,809.22, 3,875.82 and 1,629.86

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Solution

The fourth proportional to 2,809.22, 3,875.82 and 1,629.86 is: 2,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.22 : 3,875.82 = 1,629.86 : x
  2. Step 2: Convert to fraction form
    2,809.22/3,875.82 = 1,629.86/x
  3. Step 3: Cross multiply
    2,809.22x = 3,875.82 × 1,629.86
  4. Step 4: Simplify right side
    2,809.22x = 6,317,043.99
  5. Step 5: Solve for x
    x = 6,317,043.99/2,809.22
  6. Step 6: Final answer
    x = 2,248.68

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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.