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Finding the Fourth Proportional to 15,953.28, 22,016 and 8,783.56

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Solution

The fourth proportional to 15,953.28, 22,016 and 8,783.56 is: 12,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.28 : 22,016 = 8,783.56 : x
  2. Step 2: Convert to fraction form
    15,953.28/22,016 = 8,783.56/x
  3. Step 3: Cross multiply
    15,953.28x = 22,016 × 8,783.56
  4. Step 4: Simplify right side
    15,953.28x = 193,378,856.96
  5. Step 5: Solve for x
    x = 193,378,856.96/15,953.28
  6. Step 6: Final answer
    x = 12,121.57

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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.