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Finding the Fourth Proportional to 3,181.80, 4,772.70 and 873.30

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Solution

The fourth proportional to 3,181.80, 4,772.70 and 873.30 is: 1,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.80 : 4,772.70 = 873.30 : x
  2. Step 2: Convert to fraction form
    3,181.80/4,772.70 = 873.30/x
  3. Step 3: Cross multiply
    3,181.80x = 4,772.70 × 873.30
  4. Step 4: Simplify right side
    3,181.80x = 4,167,998.91
  5. Step 5: Solve for x
    x = 4,167,998.91/3,181.80
  6. Step 6: Final answer
    x = 1,309.95

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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.