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Finding the Fourth Proportional to 11,392.14, 15,742.89 and 8,215.86

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Solution

The fourth proportional to 11,392.14, 15,742.89 and 8,215.86 is: 11,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.14 : 15,742.89 = 8,215.86 : x
  2. Step 2: Convert to fraction form
    11,392.14/15,742.89 = 8,215.86/x
  3. Step 3: Cross multiply
    11,392.14x = 15,742.89 × 8,215.86
  4. Step 4: Simplify right side
    11,392.14x = 129,341,439.27
  5. Step 5: Solve for x
    x = 129,341,439.27/11,392.14
  6. Step 6: Final answer
    x = 11,353.56

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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.