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Finding the Fourth Proportional to 11,149.02, 16,722.15 and 6,471.57

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Solution

The fourth proportional to 11,149.02, 16,722.15 and 6,471.57 is: 9,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.02 : 16,722.15 = 6,471.57 : x
  2. Step 2: Convert to fraction form
    11,149.02/16,722.15 = 6,471.57/x
  3. Step 3: Cross multiply
    11,149.02x = 16,722.15 × 6,471.57
  4. Step 4: Simplify right side
    11,149.02x = 108,218,564.28
  5. Step 5: Solve for x
    x = 108,218,564.28/11,149.02
  6. Step 6: Final answer
    x = 9,706.55

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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.