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Finding the Fourth Proportional to 13,816, 20,699.43 and 7,960.51

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Solution

The fourth proportional to 13,816, 20,699.43 and 7,960.51 is: 11,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 20,699.43 = 7,960.51 : x
  2. Step 2: Convert to fraction form
    13,816/20,699.43 = 7,960.51/x
  3. Step 3: Cross multiply
    13,816x = 20,699.43 × 7,960.51
  4. Step 4: Simplify right side
    13,816x = 164,778,019.51
  5. Step 5: Solve for x
    x = 164,778,019.51/13,816
  6. Step 6: Final answer
    x = 11,926.61

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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.