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Finding the Fourth Proportional to 2,768.31, 4,152.40 and 820.53

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Solution

The fourth proportional to 2,768.31, 4,152.40 and 820.53 is: 1,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.31 : 4,152.40 = 820.53 : x
  2. Step 2: Convert to fraction form
    2,768.31/4,152.40 = 820.53/x
  3. Step 3: Cross multiply
    2,768.31x = 4,152.40 × 820.53
  4. Step 4: Simplify right side
    2,768.31x = 3,407,166.72
  5. Step 5: Solve for x
    x = 3,407,166.72/2,768.31
  6. Step 6: Final answer
    x = 1,230.77

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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.