Home / 2,760.78-3,809.88-1,582.50

Finding the Fourth Proportional to 2,760.78, 3,809.88 and 1,582.50

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Solution

The fourth proportional to 2,760.78, 3,809.88 and 1,582.50 is: 2,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.78 : 3,809.88 = 1,582.50 : x
  2. Step 2: Convert to fraction form
    2,760.78/3,809.88 = 1,582.50/x
  3. Step 3: Cross multiply
    2,760.78x = 3,809.88 × 1,582.50
  4. Step 4: Simplify right side
    2,760.78x = 6,029,135.10
  5. Step 5: Solve for x
    x = 6,029,135.10/2,760.78
  6. Step 6: Final answer
    x = 2,183.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.