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Finding the Fourth Proportional to 1,579.24, 2,179.37 and 871.12

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Solution

The fourth proportional to 1,579.24, 2,179.37 and 871.12 is: 1,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.24 : 2,179.37 = 871.12 : x
  2. Step 2: Convert to fraction form
    1,579.24/2,179.37 = 871.12/x
  3. Step 3: Cross multiply
    1,579.24x = 2,179.37 × 871.12
  4. Step 4: Simplify right side
    1,579.24x = 1,898,484.62
  5. Step 5: Solve for x
    x = 1,898,484.62/1,579.24
  6. Step 6: Final answer
    x = 1,202.15

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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.