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Finding the Fourth Proportional to 11,164.71, 16,731.42 and 8,389.61

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Solution

The fourth proportional to 11,164.71, 16,731.42 and 8,389.61 is: 12,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.71 : 16,731.42 = 8,389.61 : x
  2. Step 2: Convert to fraction form
    11,164.71/16,731.42 = 8,389.61/x
  3. Step 3: Cross multiply
    11,164.71x = 16,731.42 × 8,389.61
  4. Step 4: Simplify right side
    11,164.71x = 140,370,083.36
  5. Step 5: Solve for x
    x = 140,370,083.36/11,164.71
  6. Step 6: Final answer
    x = 12,572.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.