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Finding the Fourth Proportional to 3,329.90, 4,993.99 and 989.35

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Solution

The fourth proportional to 3,329.90, 4,993.99 and 989.35 is: 1,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.90 : 4,993.99 = 989.35 : x
  2. Step 2: Convert to fraction form
    3,329.90/4,993.99 = 989.35/x
  3. Step 3: Cross multiply
    3,329.90x = 4,993.99 × 989.35
  4. Step 4: Simplify right side
    3,329.90x = 4,940,804.01
  5. Step 5: Solve for x
    x = 4,940,804.01/3,329.90
  6. Step 6: Final answer
    x = 1,483.77

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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.