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Finding the Fourth Proportional to 10,805.94, 16,209.05 and 3,785.94

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Solution

The fourth proportional to 10,805.94, 16,209.05 and 3,785.94 is: 5,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.94 : 16,209.05 = 3,785.94 : x
  2. Step 2: Convert to fraction form
    10,805.94/16,209.05 = 3,785.94/x
  3. Step 3: Cross multiply
    10,805.94x = 16,209.05 × 3,785.94
  4. Step 4: Simplify right side
    10,805.94x = 61,366,471.83
  5. Step 5: Solve for x
    x = 61,366,471.83/10,805.94
  6. Step 6: Final answer
    x = 5,678.96

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