Home / 10,942.32-16,413.48-4,782

Finding the Fourth Proportional to 10,942.32, 16,413.48 and 4,782

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Solution

The fourth proportional to 10,942.32, 16,413.48 and 4,782 is: 7,173

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.32 : 16,413.48 = 4,782 : x
  2. Step 2: Convert to fraction form
    10,942.32/16,413.48 = 4,782/x
  3. Step 3: Cross multiply
    10,942.32x = 16,413.48 × 4,782
  4. Step 4: Simplify right side
    10,942.32x = 78,489,261.36
  5. Step 5: Solve for x
    x = 78,489,261.36/10,942.32
  6. Step 6: Final answer
    x = 7,173

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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.