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Finding the Fourth Proportional to 3,011.61, 4,517.76 and 820.37

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Solution

The fourth proportional to 3,011.61, 4,517.76 and 820.37 is: 1,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.61 : 4,517.76 = 820.37 : x
  2. Step 2: Convert to fraction form
    3,011.61/4,517.76 = 820.37/x
  3. Step 3: Cross multiply
    3,011.61x = 4,517.76 × 820.37
  4. Step 4: Simplify right side
    3,011.61x = 3,706,212.18
  5. Step 5: Solve for x
    x = 3,706,212.18/3,011.61
  6. Step 6: Final answer
    x = 1,230.64

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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.