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Finding the Fourth Proportional to 10,981, 16,471.50 and 3,190.02

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Solution

The fourth proportional to 10,981, 16,471.50 and 3,190.02 is: 4,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981 : 16,471.50 = 3,190.02 : x
  2. Step 2: Convert to fraction form
    10,981/16,471.50 = 3,190.02/x
  3. Step 3: Cross multiply
    10,981x = 16,471.50 × 3,190.02
  4. Step 4: Simplify right side
    10,981x = 52,544,414.43
  5. Step 5: Solve for x
    x = 52,544,414.43/10,981
  6. Step 6: Final answer
    x = 4,785.03

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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.