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Finding the Fourth Proportional to 13,908.80, 20,865.94 and 5,143.79

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Solution

The fourth proportional to 13,908.80, 20,865.94 and 5,143.79 is: 7,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.80 : 20,865.94 = 5,143.79 : x
  2. Step 2: Convert to fraction form
    13,908.80/20,865.94 = 5,143.79/x
  3. Step 3: Cross multiply
    13,908.80x = 20,865.94 × 5,143.79
  4. Step 4: Simplify right side
    13,908.80x = 107,330,013.51
  5. Step 5: Solve for x
    x = 107,330,013.51/13,908.80
  6. Step 6: Final answer
    x = 7,716.70

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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.