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Finding the Fourth Proportional to 18,722.40, 25,842 and 10,765.44

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Solution

The fourth proportional to 18,722.40, 25,842 and 10,765.44 is: 14,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,722.40 : 25,842 = 10,765.44 : x
  2. Step 2: Convert to fraction form
    18,722.40/25,842 = 10,765.44/x
  3. Step 3: Cross multiply
    18,722.40x = 25,842 × 10,765.44
  4. Step 4: Simplify right side
    18,722.40x = 278,200,500.48
  5. Step 5: Solve for x
    x = 278,200,500.48/18,722.40
  6. Step 6: Final answer
    x = 14,859.23

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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.