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Finding the Fourth Proportional to 3,011.81, 4,517.96 and 820.63

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Solution

The fourth proportional to 3,011.81, 4,517.96 and 820.63 is: 1,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.81 : 4,517.96 = 820.63 : x
  2. Step 2: Convert to fraction form
    3,011.81/4,517.96 = 820.63/x
  3. Step 3: Cross multiply
    3,011.81x = 4,517.96 × 820.63
  4. Step 4: Simplify right side
    3,011.81x = 3,707,558.12
  5. Step 5: Solve for x
    x = 3,707,558.12/3,011.81
  6. Step 6: Final answer
    x = 1,231.01

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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.