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Finding the Fourth Proportional to 5,138.30, 7,695.30 and 3,485.90

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Solution

The fourth proportional to 5,138.30, 7,695.30 and 3,485.90 is: 5,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.30 : 7,695.30 = 3,485.90 : x
  2. Step 2: Convert to fraction form
    5,138.30/7,695.30 = 3,485.90/x
  3. Step 3: Cross multiply
    5,138.30x = 7,695.30 × 3,485.90
  4. Step 4: Simplify right side
    5,138.30x = 26,825,046.27
  5. Step 5: Solve for x
    x = 26,825,046.27/5,138.30
  6. Step 6: Final answer
    x = 5,220.61

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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.