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Finding the Fourth Proportional to 28,830, 43,245.04 and 6,942

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Solution

The fourth proportional to 28,830, 43,245.04 and 6,942 is: 10,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,830 : 43,245.04 = 6,942 : x
  2. Step 2: Convert to fraction form
    28,830/43,245.04 = 6,942/x
  3. Step 3: Cross multiply
    28,830x = 43,245.04 × 6,942
  4. Step 4: Simplify right side
    28,830x = 300,207,067.68
  5. Step 5: Solve for x
    x = 300,207,067.68/28,830
  6. Step 6: Final answer
    x = 10,413.01

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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.