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Finding the Fourth Proportional to 12,161, 16,775.70 and 8,175.26

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Solution

The fourth proportional to 12,161, 16,775.70 and 8,175.26 is: 11,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161 : 16,775.70 = 8,175.26 : x
  2. Step 2: Convert to fraction form
    12,161/16,775.70 = 8,175.26/x
  3. Step 3: Cross multiply
    12,161x = 16,775.70 × 8,175.26
  4. Step 4: Simplify right side
    12,161x = 137,145,709.18
  5. Step 5: Solve for x
    x = 137,145,709.18/12,161
  6. Step 6: Final answer
    x = 11,277.50

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1.5x scale

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.