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Finding the Fourth Proportional to 7,618.80, 11,413.62 and 5,141.42

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Solution

The fourth proportional to 7,618.80, 11,413.62 and 5,141.42 is: 7,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.80 : 11,413.62 = 5,141.42 : x
  2. Step 2: Convert to fraction form
    7,618.80/11,413.62 = 5,141.42/x
  3. Step 3: Cross multiply
    7,618.80x = 11,413.62 × 5,141.42
  4. Step 4: Simplify right side
    7,618.80x = 58,682,157.07
  5. Step 5: Solve for x
    x = 58,682,157.07/7,618.80
  6. Step 6: Final answer
    x = 7,702.28

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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.