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Finding the Fourth Proportional to 11,852.94, 16,351.92 and 6,816

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Solution

The fourth proportional to 11,852.94, 16,351.92 and 6,816 is: 9,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.94 : 16,351.92 = 6,816 : x
  2. Step 2: Convert to fraction form
    11,852.94/16,351.92 = 6,816/x
  3. Step 3: Cross multiply
    11,852.94x = 16,351.92 × 6,816
  4. Step 4: Simplify right side
    11,852.94x = 111,454,686.72
  5. Step 5: Solve for x
    x = 111,454,686.72/11,852.94
  6. Step 6: Final answer
    x = 9,403.13

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Why These Related Problems?

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