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Finding the Fourth Proportional to 7,770.90, 10,724.22 and 4,413.54

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Solution

The fourth proportional to 7,770.90, 10,724.22 and 4,413.54 is: 6,090.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.90 : 10,724.22 = 4,413.54 : x
  2. Step 2: Convert to fraction form
    7,770.90/10,724.22 = 4,413.54/x
  3. Step 3: Cross multiply
    7,770.90x = 10,724.22 × 4,413.54
  4. Step 4: Simplify right side
    7,770.90x = 47,331,773.94
  5. Step 5: Solve for x
    x = 47,331,773.94/7,770.90
  6. Step 6: Final answer
    x = 6,090.90

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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.