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Finding the Fourth Proportional to 3,019.92, 4,530.15 and 828.66

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Solution

The fourth proportional to 3,019.92, 4,530.15 and 828.66 is: 1,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.92 : 4,530.15 = 828.66 : x
  2. Step 2: Convert to fraction form
    3,019.92/4,530.15 = 828.66/x
  3. Step 3: Cross multiply
    3,019.92x = 4,530.15 × 828.66
  4. Step 4: Simplify right side
    3,019.92x = 3,753,954.10
  5. Step 5: Solve for x
    x = 3,753,954.10/3,019.92
  6. Step 6: Final answer
    x = 1,243.06

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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.