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Finding the Fourth Proportional to 7,768.58, 11,652.78 and 5,147.82

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Solution

The fourth proportional to 7,768.58, 11,652.78 and 5,147.82 is: 7,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.58 : 11,652.78 = 5,147.82 : x
  2. Step 2: Convert to fraction form
    7,768.58/11,652.78 = 5,147.82/x
  3. Step 3: Cross multiply
    7,768.58x = 11,652.78 × 5,147.82
  4. Step 4: Simplify right side
    7,768.58x = 59,986,413.94
  5. Step 5: Solve for x
    x = 59,986,413.94/7,768.58
  6. Step 6: Final answer
    x = 7,721.68

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1.5x scale

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.