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Finding the Fourth Proportional to 2,086.52, 3,129.79 and 605.84

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Solution

The fourth proportional to 2,086.52, 3,129.79 and 605.84 is: 908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.52 : 3,129.79 = 605.84 : x
  2. Step 2: Convert to fraction form
    2,086.52/3,129.79 = 605.84/x
  3. Step 3: Cross multiply
    2,086.52x = 3,129.79 × 605.84
  4. Step 4: Simplify right side
    2,086.52x = 1,896,136.32
  5. Step 5: Solve for x
    x = 1,896,136.32/2,086.52
  6. Step 6: Final answer
    x = 908.76

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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.