Home / 2,081.77-3,121.23-782.13

Finding the Fourth Proportional to 2,081.77, 3,121.23 and 782.13

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Solution

The fourth proportional to 2,081.77, 3,121.23 and 782.13 is: 1,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.77 : 3,121.23 = 782.13 : x
  2. Step 2: Convert to fraction form
    2,081.77/3,121.23 = 782.13/x
  3. Step 3: Cross multiply
    2,081.77x = 3,121.23 × 782.13
  4. Step 4: Simplify right side
    2,081.77x = 2,441,207.62
  5. Step 5: Solve for x
    x = 2,441,207.62/2,081.77
  6. Step 6: Final answer
    x = 1,172.66

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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.