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Finding the Fourth Proportional to 3,929.80, 5,893.98 and 1,589.68

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Solution

The fourth proportional to 3,929.80, 5,893.98 and 1,589.68 is: 2,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.80 : 5,893.98 = 1,589.68 : x
  2. Step 2: Convert to fraction form
    3,929.80/5,893.98 = 1,589.68/x
  3. Step 3: Cross multiply
    3,929.80x = 5,893.98 × 1,589.68
  4. Step 4: Simplify right side
    3,929.80x = 9,369,542.13
  5. Step 5: Solve for x
    x = 9,369,542.13/3,929.80
  6. Step 6: Final answer
    x = 2,384.23

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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.