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Finding the Fourth Proportional to 15,906.96, 21,949.92 and 9,191.52

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Solution

The fourth proportional to 15,906.96, 21,949.92 and 9,191.52 is: 12,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.96 : 21,949.92 = 9,191.52 : x
  2. Step 2: Convert to fraction form
    15,906.96/21,949.92 = 9,191.52/x
  3. Step 3: Cross multiply
    15,906.96x = 21,949.92 × 9,191.52
  4. Step 4: Simplify right side
    15,906.96x = 201,753,128.68
  5. Step 5: Solve for x
    x = 201,753,128.68/15,906.96
  6. Step 6: Final answer
    x = 12,683.32

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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.