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Finding the Fourth Proportional to 18,245.50, 25,178.79 and 9,862

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Solution

The fourth proportional to 18,245.50, 25,178.79 and 9,862 is: 13,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,245.50 : 25,178.79 = 9,862 : x
  2. Step 2: Convert to fraction form
    18,245.50/25,178.79 = 9,862/x
  3. Step 3: Cross multiply
    18,245.50x = 25,178.79 × 9,862
  4. Step 4: Simplify right side
    18,245.50x = 248,313,226.98
  5. Step 5: Solve for x
    x = 248,313,226.98/18,245.50
  6. Step 6: Final answer
    x = 13,609.56

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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.