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Finding the Fourth Proportional to 11,199.89, 16,785.99 and 9,815.91

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Solution

The fourth proportional to 11,199.89, 16,785.99 and 9,815.91 is: 14,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.89 : 16,785.99 = 9,815.91 : x
  2. Step 2: Convert to fraction form
    11,199.89/16,785.99 = 9,815.91/x
  3. Step 3: Cross multiply
    11,199.89x = 16,785.99 × 9,815.91
  4. Step 4: Simplify right side
    11,199.89x = 164,769,767.10
  5. Step 5: Solve for x
    x = 164,769,767.10/11,199.89
  6. Step 6: Final answer
    x = 14,711.74

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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.