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Finding the Fourth Proportional to 20,564.70, 30,839.67 and 7,413.54

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Solution

The fourth proportional to 20,564.70, 30,839.67 and 7,413.54 is: 11,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.70 : 30,839.67 = 7,413.54 : x
  2. Step 2: Convert to fraction form
    20,564.70/30,839.67 = 7,413.54/x
  3. Step 3: Cross multiply
    20,564.70x = 30,839.67 × 7,413.54
  4. Step 4: Simplify right side
    20,564.70x = 228,631,127.13
  5. Step 5: Solve for x
    x = 228,631,127.13/20,564.70
  6. Step 6: Final answer
    x = 11,117.65

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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.