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Finding the Fourth Proportional to 16,966.50, 23,413.77 and 9,891.56

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Solution

The fourth proportional to 16,966.50, 23,413.77 and 9,891.56 is: 13,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.50 : 23,413.77 = 9,891.56 : x
  2. Step 2: Convert to fraction form
    16,966.50/23,413.77 = 9,891.56/x
  3. Step 3: Cross multiply
    16,966.50x = 23,413.77 × 9,891.56
  4. Step 4: Simplify right side
    16,966.50x = 231,598,593.71
  5. Step 5: Solve for x
    x = 231,598,593.71/16,966.50
  6. Step 6: Final answer
    x = 13,650.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.