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Finding the Fourth Proportional to 3,329.31, 4,993.98 and 989.37

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Solution

The fourth proportional to 3,329.31, 4,993.98 and 989.37 is: 1,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.31 : 4,993.98 = 989.37 : x
  2. Step 2: Convert to fraction form
    3,329.31/4,993.98 = 989.37/x
  3. Step 3: Cross multiply
    3,329.31x = 4,993.98 × 989.37
  4. Step 4: Simplify right side
    3,329.31x = 4,940,893.99
  5. Step 5: Solve for x
    x = 4,940,893.99/3,329.31
  6. Step 6: Final answer
    x = 1,484.06

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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.