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Finding the Fourth Proportional to 8,823, 12,087.68 and 8,490.90

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Solution

The fourth proportional to 8,823, 12,087.68 and 8,490.90 is: 11,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823 : 12,087.68 = 8,490.90 : x
  2. Step 2: Convert to fraction form
    8,823/12,087.68 = 8,490.90/x
  3. Step 3: Cross multiply
    8,823x = 12,087.68 × 8,490.90
  4. Step 4: Simplify right side
    8,823x = 102,635,239.66
  5. Step 5: Solve for x
    x = 102,635,239.66/8,823
  6. Step 6: Final answer
    x = 11,632.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.