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Finding the Fourth Proportional to 17,767.68, 26,643.84 and 6,816

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Solution

The fourth proportional to 17,767.68, 26,643.84 and 6,816 is: 10,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.68 : 26,643.84 = 6,816 : x
  2. Step 2: Convert to fraction form
    17,767.68/26,643.84 = 6,816/x
  3. Step 3: Cross multiply
    17,767.68x = 26,643.84 × 6,816
  4. Step 4: Simplify right side
    17,767.68x = 181,604,413.44
  5. Step 5: Solve for x
    x = 181,604,413.44/17,767.68
  6. Step 6: Final answer
    x = 10,221.05

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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.