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Finding the Fourth Proportional to 31,219, 43,082.40 and 20,041

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Solution

The fourth proportional to 31,219, 43,082.40 and 20,041 is: 27,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,219 : 43,082.40 = 20,041 : x
  2. Step 2: Convert to fraction form
    31,219/43,082.40 = 20,041/x
  3. Step 3: Cross multiply
    31,219x = 43,082.40 × 20,041
  4. Step 4: Simplify right side
    31,219x = 863,414,378.40
  5. Step 5: Solve for x
    x = 863,414,378.40/31,219
  6. Step 6: Final answer
    x = 27,656.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.