Home / 2,782.50-4,170.16-2,083.68

Finding the Fourth Proportional to 2,782.50, 4,170.16 and 2,083.68

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Solution

The fourth proportional to 2,782.50, 4,170.16 and 2,083.68 is: 3,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.50 : 4,170.16 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    2,782.50/4,170.16 = 2,083.68/x
  3. Step 3: Cross multiply
    2,782.50x = 4,170.16 × 2,083.68
  4. Step 4: Simplify right side
    2,782.50x = 8,689,278.99
  5. Step 5: Solve for x
    x = 8,689,278.99/2,782.50
  6. Step 6: Final answer
    x = 3,122.83

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1.5x scale

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.