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Finding the Fourth Proportional to 7,183.74, 9,910.29 and 5,191.14

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Solution

The fourth proportional to 7,183.74, 9,910.29 and 5,191.14 is: 7,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.74 : 9,910.29 = 5,191.14 : x
  2. Step 2: Convert to fraction form
    7,183.74/9,910.29 = 5,191.14/x
  3. Step 3: Cross multiply
    7,183.74x = 9,910.29 × 5,191.14
  4. Step 4: Simplify right side
    7,183.74x = 51,445,702.83
  5. Step 5: Solve for x
    x = 51,445,702.83/7,183.74
  6. Step 6: Final answer
    x = 7,161.41

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