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Finding the Fourth Proportional to 7,187.67, 9,916.29 and 4,202.55

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Solution

The fourth proportional to 7,187.67, 9,916.29 and 4,202.55 is: 5,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.67 : 9,916.29 = 4,202.55 : x
  2. Step 2: Convert to fraction form
    7,187.67/9,916.29 = 4,202.55/x
  3. Step 3: Cross multiply
    7,187.67x = 9,916.29 × 4,202.55
  4. Step 4: Simplify right side
    7,187.67x = 41,673,704.54
  5. Step 5: Solve for x
    x = 41,673,704.54/7,187.67
  6. Step 6: Final answer
    x = 5,797.94

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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.