Home / 2,120.87-3,182.31-1,024.62

Finding the Fourth Proportional to 2,120.87, 3,182.31 and 1,024.62

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Solution

The fourth proportional to 2,120.87, 3,182.31 and 1,024.62 is: 1,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.87 : 3,182.31 = 1,024.62 : x
  2. Step 2: Convert to fraction form
    2,120.87/3,182.31 = 1,024.62/x
  3. Step 3: Cross multiply
    2,120.87x = 3,182.31 × 1,024.62
  4. Step 4: Simplify right side
    2,120.87x = 3,260,658.47
  5. Step 5: Solve for x
    x = 3,260,658.47/2,120.87
  6. Step 6: Final answer
    x = 1,537.42

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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.