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Finding the Fourth Proportional to 3,413, 5,119.50 and 981

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Solution

The fourth proportional to 3,413, 5,119.50 and 981 is: 1,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413 : 5,119.50 = 981 : x
  2. Step 2: Convert to fraction form
    3,413/5,119.50 = 981/x
  3. Step 3: Cross multiply
    3,413x = 5,119.50 × 981
  4. Step 4: Simplify right side
    3,413x = 5,022,229.50
  5. Step 5: Solve for x
    x = 5,022,229.50/3,413
  6. Step 6: Final answer
    x = 1,471.50

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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.