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Finding the Fourth Proportional to 3,011.62, 4,517.42 and 820.34

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Solution

The fourth proportional to 3,011.62, 4,517.42 and 820.34 is: 1,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.62 : 4,517.42 = 820.34 : x
  2. Step 2: Convert to fraction form
    3,011.62/4,517.42 = 820.34/x
  3. Step 3: Cross multiply
    3,011.62x = 4,517.42 × 820.34
  4. Step 4: Simplify right side
    3,011.62x = 3,705,827.51
  5. Step 5: Solve for x
    x = 3,705,827.51/3,011.62
  6. Step 6: Final answer
    x = 1,230.51

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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.