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Finding the Fourth Proportional to 2,768.54, 4,153.48 and 820.74

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Solution

The fourth proportional to 2,768.54, 4,153.48 and 820.74 is: 1,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.54 : 4,153.48 = 820.74 : x
  2. Step 2: Convert to fraction form
    2,768.54/4,153.48 = 820.74/x
  3. Step 3: Cross multiply
    2,768.54x = 4,153.48 × 820.74
  4. Step 4: Simplify right side
    2,768.54x = 3,408,925.12
  5. Step 5: Solve for x
    x = 3,408,925.12/2,768.54
  6. Step 6: Final answer
    x = 1,231.31

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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.