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Finding the Fourth Proportional to 9,833.62, 13,573.89 and 8,783.86

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Solution

The fourth proportional to 9,833.62, 13,573.89 and 8,783.86 is: 12,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.62 : 13,573.89 = 8,783.86 : x
  2. Step 2: Convert to fraction form
    9,833.62/13,573.89 = 8,783.86/x
  3. Step 3: Cross multiply
    9,833.62x = 13,573.89 × 8,783.86
  4. Step 4: Simplify right side
    9,833.62x = 119,231,149.42
  5. Step 5: Solve for x
    x = 119,231,149.42/9,833.62
  6. Step 6: Final answer
    x = 12,124.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.