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Finding the Fourth Proportional to 2,768.48, 4,153.14 and 820.46

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Solution

The fourth proportional to 2,768.48, 4,153.14 and 820.46 is: 1,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.48 : 4,153.14 = 820.46 : x
  2. Step 2: Convert to fraction form
    2,768.48/4,153.14 = 820.46/x
  3. Step 3: Cross multiply
    2,768.48x = 4,153.14 × 820.46
  4. Step 4: Simplify right side
    2,768.48x = 3,407,485.24
  5. Step 5: Solve for x
    x = 3,407,485.24/2,768.48
  6. Step 6: Final answer
    x = 1,230.81

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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.