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Finding the Fourth Proportional to 2,179.58, 3,269.37 and 536.16

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Solution

The fourth proportional to 2,179.58, 3,269.37 and 536.16 is: 804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.58 : 3,269.37 = 536.16 : x
  2. Step 2: Convert to fraction form
    2,179.58/3,269.37 = 536.16/x
  3. Step 3: Cross multiply
    2,179.58x = 3,269.37 × 536.16
  4. Step 4: Simplify right side
    2,179.58x = 1,752,887.73
  5. Step 5: Solve for x
    x = 1,752,887.73/2,179.58
  6. Step 6: Final answer
    x = 804.23

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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.