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Finding the Fourth Proportional to 19,254.50, 28,881.87 and 6,942.50

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Solution

The fourth proportional to 19,254.50, 28,881.87 and 6,942.50 is: 10,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254.50 : 28,881.87 = 6,942.50 : x
  2. Step 2: Convert to fraction form
    19,254.50/28,881.87 = 6,942.50/x
  3. Step 3: Cross multiply
    19,254.50x = 28,881.87 × 6,942.50
  4. Step 4: Simplify right side
    19,254.50x = 200,512,382.48
  5. Step 5: Solve for x
    x = 200,512,382.48/19,254.50
  6. Step 6: Final answer
    x = 10,413.79

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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.