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Finding the Fourth Proportional to 14,413.30, 21,628.05 and 7,839.95

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Solution

The fourth proportional to 14,413.30, 21,628.05 and 7,839.95 is: 11,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.30 : 21,628.05 = 7,839.95 : x
  2. Step 2: Convert to fraction form
    14,413.30/21,628.05 = 7,839.95/x
  3. Step 3: Cross multiply
    14,413.30x = 21,628.05 × 7,839.95
  4. Step 4: Simplify right side
    14,413.30x = 169,562,830.60
  5. Step 5: Solve for x
    x = 169,562,830.60/14,413.30
  6. Step 6: Final answer
    x = 11,764.33

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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.