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Finding the Fourth Proportional to 3,321.98, 4,982.94 and 1,585.34

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Solution

The fourth proportional to 3,321.98, 4,982.94 and 1,585.34 is: 2,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.98 : 4,982.94 = 1,585.34 : x
  2. Step 2: Convert to fraction form
    3,321.98/4,982.94 = 1,585.34/x
  3. Step 3: Cross multiply
    3,321.98x = 4,982.94 × 1,585.34
  4. Step 4: Simplify right side
    3,321.98x = 7,899,629.18
  5. Step 5: Solve for x
    x = 7,899,629.18/3,321.98
  6. Step 6: Final answer
    x = 2,377.99

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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.