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Finding the Fourth Proportional to 5,286.86, 7,938.06 and 5,193.54

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Solution

The fourth proportional to 5,286.86, 7,938.06 and 5,193.54 is: 7,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.86 : 7,938.06 = 5,193.54 : x
  2. Step 2: Convert to fraction form
    5,286.86/7,938.06 = 5,193.54/x
  3. Step 3: Cross multiply
    5,286.86x = 7,938.06 × 5,193.54
  4. Step 4: Simplify right side
    5,286.86x = 41,226,632.13
  5. Step 5: Solve for x
    x = 41,226,632.13/5,286.86
  6. Step 6: Final answer
    x = 7,797.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.