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Finding the Fourth Proportional to 13,647.38, 20,477.54 and 4,413.38

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Solution

The fourth proportional to 13,647.38, 20,477.54 and 4,413.38 is: 6,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.38 : 20,477.54 = 4,413.38 : x
  2. Step 2: Convert to fraction form
    13,647.38/20,477.54 = 4,413.38/x
  3. Step 3: Cross multiply
    13,647.38x = 20,477.54 × 4,413.38
  4. Step 4: Simplify right side
    13,647.38x = 90,375,165.49
  5. Step 5: Solve for x
    x = 90,375,165.49/13,647.38
  6. Step 6: Final answer
    x = 6,622.16

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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.