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Finding the Fourth Proportional to 3,929.59, 5,894.31 and 1,589.57

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Solution

The fourth proportional to 3,929.59, 5,894.31 and 1,589.57 is: 2,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.59 : 5,894.31 = 1,589.57 : x
  2. Step 2: Convert to fraction form
    3,929.59/5,894.31 = 1,589.57/x
  3. Step 3: Cross multiply
    3,929.59x = 5,894.31 × 1,589.57
  4. Step 4: Simplify right side
    3,929.59x = 9,369,418.35
  5. Step 5: Solve for x
    x = 9,369,418.35/3,929.59
  6. Step 6: Final answer
    x = 2,384.32

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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.