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Finding the Fourth Proportional to 16,858.64, 25,226.76 and 12,188

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Solution

The fourth proportional to 16,858.64, 25,226.76 and 12,188 is: 18,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.64 : 25,226.76 = 12,188 : x
  2. Step 2: Convert to fraction form
    16,858.64/25,226.76 = 12,188/x
  3. Step 3: Cross multiply
    16,858.64x = 25,226.76 × 12,188
  4. Step 4: Simplify right side
    16,858.64x = 307,463,750.88
  5. Step 5: Solve for x
    x = 307,463,750.88/16,858.64
  6. Step 6: Final answer
    x = 18,237.76

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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.