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Finding the Fourth Proportional to 7,027.70, 9,697.85 and 3,883.69

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Solution

The fourth proportional to 7,027.70, 9,697.85 and 3,883.69 is: 5,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.70 : 9,697.85 = 3,883.69 : x
  2. Step 2: Convert to fraction form
    7,027.70/9,697.85 = 3,883.69/x
  3. Step 3: Cross multiply
    7,027.70x = 9,697.85 × 3,883.69
  4. Step 4: Simplify right side
    7,027.70x = 37,663,413.97
  5. Step 5: Solve for x
    x = 37,663,413.97/7,027.70
  6. Step 6: Final answer
    x = 5,359.28

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1.5x scale

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.