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Finding the Fourth Proportional to 3,589.48, 5,383.50 and 992.68

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Solution

The fourth proportional to 3,589.48, 5,383.50 and 992.68 is: 1,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.48 : 5,383.50 = 992.68 : x
  2. Step 2: Convert to fraction form
    3,589.48/5,383.50 = 992.68/x
  3. Step 3: Cross multiply
    3,589.48x = 5,383.50 × 992.68
  4. Step 4: Simplify right side
    3,589.48x = 5,344,092.78
  5. Step 5: Solve for x
    x = 5,344,092.78/3,589.48
  6. Step 6: Final answer
    x = 1,488.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.