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Finding the Fourth Proportional to 12,174.07, 16,802.93 and 7,917.73

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Solution

The fourth proportional to 12,174.07, 16,802.93 and 7,917.73 is: 10,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.07 : 16,802.93 = 7,917.73 : x
  2. Step 2: Convert to fraction form
    12,174.07/16,802.93 = 7,917.73/x
  3. Step 3: Cross multiply
    12,174.07x = 16,802.93 × 7,917.73
  4. Step 4: Simplify right side
    12,174.07x = 133,041,062.95
  5. Step 5: Solve for x
    x = 133,041,062.95/12,174.07
  6. Step 6: Final answer
    x = 10,928.23

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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.