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Finding the Fourth Proportional to 7,134, 9,847.56 and 5,370.72

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Solution

The fourth proportional to 7,134, 9,847.56 and 5,370.72 is: 7,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134 : 9,847.56 = 5,370.72 : x
  2. Step 2: Convert to fraction form
    7,134/9,847.56 = 5,370.72/x
  3. Step 3: Cross multiply
    7,134x = 9,847.56 × 5,370.72
  4. Step 4: Simplify right side
    7,134x = 52,888,487.44
  5. Step 5: Solve for x
    x = 52,888,487.44/7,134
  6. Step 6: Final answer
    x = 7,413.58

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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.