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Finding the Fourth Proportional to 6,942.48, 10,413.76 and 2,838.48

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Solution

The fourth proportional to 6,942.48, 10,413.76 and 2,838.48 is: 4,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.48 : 10,413.76 = 2,838.48 : x
  2. Step 2: Convert to fraction form
    6,942.48/10,413.76 = 2,838.48/x
  3. Step 3: Cross multiply
    6,942.48x = 10,413.76 × 2,838.48
  4. Step 4: Simplify right side
    6,942.48x = 29,559,249.48
  5. Step 5: Solve for x
    x = 29,559,249.48/6,942.48
  6. Step 6: Final answer
    x = 4,257.74

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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.