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Finding the Fourth Proportional to 8,960.34, 13,438.34 and 3,413.46

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Solution

The fourth proportional to 8,960.34, 13,438.34 and 3,413.46 is: 5,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.34 : 13,438.34 = 3,413.46 : x
  2. Step 2: Convert to fraction form
    8,960.34/13,438.34 = 3,413.46/x
  3. Step 3: Cross multiply
    8,960.34x = 13,438.34 × 3,413.46
  4. Step 4: Simplify right side
    8,960.34x = 45,871,236.06
  5. Step 5: Solve for x
    x = 45,871,236.06/8,960.34
  6. Step 6: Final answer
    x = 5,119.36

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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.