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Finding the Fourth Proportional to 8,960.47, 13,446.54 and 3,413.86

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Solution

The fourth proportional to 8,960.47, 13,446.54 and 3,413.86 is: 5,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.47 : 13,446.54 = 3,413.86 : x
  2. Step 2: Convert to fraction form
    8,960.47/13,446.54 = 3,413.86/x
  3. Step 3: Cross multiply
    8,960.47x = 13,446.54 × 3,413.86
  4. Step 4: Simplify right side
    8,960.47x = 45,904,571.43
  5. Step 5: Solve for x
    x = 45,904,571.43/8,960.47
  6. Step 6: Final answer
    x = 5,123.01

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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.