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Finding the Fourth Proportional to 6,138.82, 9,208.50 and 1,756.90

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Solution

The fourth proportional to 6,138.82, 9,208.50 and 1,756.90 is: 2,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.82 : 9,208.50 = 1,756.90 : x
  2. Step 2: Convert to fraction form
    6,138.82/9,208.50 = 1,756.90/x
  3. Step 3: Cross multiply
    6,138.82x = 9,208.50 × 1,756.90
  4. Step 4: Simplify right side
    6,138.82x = 16,178,413.65
  5. Step 5: Solve for x
    x = 16,178,413.65/6,138.82
  6. Step 6: Final answer
    x = 2,635.43

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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.