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Finding the Fourth Proportional to 9,800.38, 13,523.89 and 5,552.33

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Solution

The fourth proportional to 9,800.38, 13,523.89 and 5,552.33 is: 7,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.38 : 13,523.89 = 5,552.33 : x
  2. Step 2: Convert to fraction form
    9,800.38/13,523.89 = 5,552.33/x
  3. Step 3: Cross multiply
    9,800.38x = 13,523.89 × 5,552.33
  4. Step 4: Simplify right side
    9,800.38x = 75,089,089.53
  5. Step 5: Solve for x
    x = 75,089,089.53/9,800.38
  6. Step 6: Final answer
    x = 7,661.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.