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Finding the Fourth Proportional to 11,165, 15,407.70 and 6,197

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Solution

The fourth proportional to 11,165, 15,407.70 and 6,197 is: 8,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165 : 15,407.70 = 6,197 : x
  2. Step 2: Convert to fraction form
    11,165/15,407.70 = 6,197/x
  3. Step 3: Cross multiply
    11,165x = 15,407.70 × 6,197
  4. Step 4: Simplify right side
    11,165x = 95,481,516.90
  5. Step 5: Solve for x
    x = 95,481,516.90/11,165
  6. Step 6: Final answer
    x = 8,551.86

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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.