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Finding the Fourth Proportional to 9,205.86, 12,672.96 and 8,318.88

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Solution

The fourth proportional to 9,205.86, 12,672.96 and 8,318.88 is: 11,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.86 : 12,672.96 = 8,318.88 : x
  2. Step 2: Convert to fraction form
    9,205.86/12,672.96 = 8,318.88/x
  3. Step 3: Cross multiply
    9,205.86x = 12,672.96 × 8,318.88
  4. Step 4: Simplify right side
    9,205.86x = 105,424,833.48
  5. Step 5: Solve for x
    x = 105,424,833.48/9,205.86
  6. Step 6: Final answer
    x = 11,451.93

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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.