Home / 2,768.07-4,152.82-820.23

Finding the Fourth Proportional to 2,768.07, 4,152.82 and 820.23

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Solution

The fourth proportional to 2,768.07, 4,152.82 and 820.23 is: 1,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.07 : 4,152.82 = 820.23 : x
  2. Step 2: Convert to fraction form
    2,768.07/4,152.82 = 820.23/x
  3. Step 3: Cross multiply
    2,768.07x = 4,152.82 × 820.23
  4. Step 4: Simplify right side
    2,768.07x = 3,406,251.46
  5. Step 5: Solve for x
    x = 3,406,251.46/2,768.07
  6. Step 6: Final answer
    x = 1,230.55

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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.