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Finding the Fourth Proportional to 11,893.50, 16,413.03 and 7,177.78

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Solution

The fourth proportional to 11,893.50, 16,413.03 and 7,177.78 is: 9,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.50 : 16,413.03 = 7,177.78 : x
  2. Step 2: Convert to fraction form
    11,893.50/16,413.03 = 7,177.78/x
  3. Step 3: Cross multiply
    11,893.50x = 16,413.03 × 7,177.78
  4. Step 4: Simplify right side
    11,893.50x = 117,809,138.99
  5. Step 5: Solve for x
    x = 117,809,138.99/11,893.50
  6. Step 6: Final answer
    x = 9,905.34

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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.