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Finding the Fourth Proportional to 2,768.29, 4,151.75 and 820.51

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Solution

The fourth proportional to 2,768.29, 4,151.75 and 820.51 is: 1,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.29 : 4,151.75 = 820.51 : x
  2. Step 2: Convert to fraction form
    2,768.29/4,151.75 = 820.51/x
  3. Step 3: Cross multiply
    2,768.29x = 4,151.75 × 820.51
  4. Step 4: Simplify right side
    2,768.29x = 3,406,552.39
  5. Step 5: Solve for x
    x = 3,406,552.39/2,768.29
  6. Step 6: Final answer
    x = 1,230.56

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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.