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Finding the Fourth Proportional to 18,729.81, 25,847 and 10,231.94

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Solution

The fourth proportional to 18,729.81, 25,847 and 10,231.94 is: 14,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,729.81 : 25,847 = 10,231.94 : x
  2. Step 2: Convert to fraction form
    18,729.81/25,847 = 10,231.94/x
  3. Step 3: Cross multiply
    18,729.81x = 25,847 × 10,231.94
  4. Step 4: Simplify right side
    18,729.81x = 264,464,953.18
  5. Step 5: Solve for x
    x = 264,464,953.18/18,729.81
  6. Step 6: Final answer
    x = 14,120.00

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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.