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Finding the Fourth Proportional to 2,086.42, 3,129.64 and 699.52

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Solution

The fourth proportional to 2,086.42, 3,129.64 and 699.52 is: 1,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.42 : 3,129.64 = 699.52 : x
  2. Step 2: Convert to fraction form
    2,086.42/3,129.64 = 699.52/x
  3. Step 3: Cross multiply
    2,086.42x = 3,129.64 × 699.52
  4. Step 4: Simplify right side
    2,086.42x = 2,189,245.77
  5. Step 5: Solve for x
    x = 2,189,245.77/2,086.42
  6. Step 6: Final answer
    x = 1,049.28

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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.