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Finding the Fourth Proportional to 18,251, 25,186.76 and 10,291.70

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Solution

The fourth proportional to 18,251, 25,186.76 and 10,291.70 is: 14,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,251 : 25,186.76 = 10,291.70 : x
  2. Step 2: Convert to fraction form
    18,251/25,186.76 = 10,291.70/x
  3. Step 3: Cross multiply
    18,251x = 25,186.76 × 10,291.70
  4. Step 4: Simplify right side
    18,251x = 259,214,577.89
  5. Step 5: Solve for x
    x = 259,214,577.89/18,251
  6. Step 6: Final answer
    x = 14,202.76

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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.