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Finding the Fourth Proportional to 16,550.74, 22,838.16 and 9,478.54

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Solution

The fourth proportional to 16,550.74, 22,838.16 and 9,478.54 is: 13,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550.74 : 22,838.16 = 9,478.54 : x
  2. Step 2: Convert to fraction form
    16,550.74/22,838.16 = 9,478.54/x
  3. Step 3: Cross multiply
    16,550.74x = 22,838.16 × 9,478.54
  4. Step 4: Simplify right side
    16,550.74x = 216,472,413.09
  5. Step 5: Solve for x
    x = 216,472,413.09/16,550.74
  6. Step 6: Final answer
    x = 13,079.32

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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.