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Finding the Fourth Proportional to 2,052.62, 3,078.21 and 820.34

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Solution

The fourth proportional to 2,052.62, 3,078.21 and 820.34 is: 1,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.62 : 3,078.21 = 820.34 : x
  2. Step 2: Convert to fraction form
    2,052.62/3,078.21 = 820.34/x
  3. Step 3: Cross multiply
    2,052.62x = 3,078.21 × 820.34
  4. Step 4: Simplify right side
    2,052.62x = 2,525,178.79
  5. Step 5: Solve for x
    x = 2,525,178.79/2,052.62
  6. Step 6: Final answer
    x = 1,230.22

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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.