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Finding the Fourth Proportional to 2,119.73, 3,178.08 and 803.39

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Solution

The fourth proportional to 2,119.73, 3,178.08 and 803.39 is: 1,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.73 : 3,178.08 = 803.39 : x
  2. Step 2: Convert to fraction form
    2,119.73/3,178.08 = 803.39/x
  3. Step 3: Cross multiply
    2,119.73x = 3,178.08 × 803.39
  4. Step 4: Simplify right side
    2,119.73x = 2,553,221.80
  5. Step 5: Solve for x
    x = 2,553,221.80/2,119.73
  6. Step 6: Final answer
    x = 1,204.51

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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.