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Finding the Fourth Proportional to 12,197, 16,825.38 and 8,211.32

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Solution

The fourth proportional to 12,197, 16,825.38 and 8,211.32 is: 11,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197 : 16,825.38 = 8,211.32 : x
  2. Step 2: Convert to fraction form
    12,197/16,825.38 = 8,211.32/x
  3. Step 3: Cross multiply
    12,197x = 16,825.38 × 8,211.32
  4. Step 4: Simplify right side
    12,197x = 138,158,579.30
  5. Step 5: Solve for x
    x = 138,158,579.30/12,197
  6. Step 6: Final answer
    x = 11,327.26

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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.