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Finding the Fourth Proportional to 9,100.15, 12,554 and 6,578.26

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Solution

The fourth proportional to 9,100.15, 12,554 and 6,578.26 is: 9,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.15 : 12,554 = 6,578.26 : x
  2. Step 2: Convert to fraction form
    9,100.15/12,554 = 6,578.26/x
  3. Step 3: Cross multiply
    9,100.15x = 12,554 × 6,578.26
  4. Step 4: Simplify right side
    9,100.15x = 82,583,413.27
  5. Step 5: Solve for x
    x = 82,583,413.27/9,100.15
  6. Step 6: Final answer
    x = 9,074.96

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Double scale
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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.