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Finding the Fourth Proportional to 11,133.25, 16,685.29 and 6,205.21

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Solution

The fourth proportional to 11,133.25, 16,685.29 and 6,205.21 is: 9,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.25 : 16,685.29 = 6,205.21 : x
  2. Step 2: Convert to fraction form
    11,133.25/16,685.29 = 6,205.21/x
  3. Step 3: Cross multiply
    11,133.25x = 16,685.29 × 6,205.21
  4. Step 4: Simplify right side
    11,133.25x = 103,535,728.36
  5. Step 5: Solve for x
    x = 103,535,728.36/11,133.25
  6. Step 6: Final answer
    x = 9,299.69

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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.