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Finding the Fourth Proportional to 17,485.60, 26,238 and 8,251.36

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Solution

The fourth proportional to 17,485.60, 26,238 and 8,251.36 is: 12,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,485.60 : 26,238 = 8,251.36 : x
  2. Step 2: Convert to fraction form
    17,485.60/26,238 = 8,251.36/x
  3. Step 3: Cross multiply
    17,485.60x = 26,238 × 8,251.36
  4. Step 4: Simplify right side
    17,485.60x = 216,499,183.68
  5. Step 5: Solve for x
    x = 216,499,183.68/17,485.60
  6. Step 6: Final answer
    x = 12,381.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.