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Finding the Fourth Proportional to 20,667.50, 31,001.27 and 6,816.50

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Solution

The fourth proportional to 20,667.50, 31,001.27 and 6,816.50 is: 10,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,667.50 : 31,001.27 = 6,816.50 : x
  2. Step 2: Convert to fraction form
    20,667.50/31,001.27 = 6,816.50/x
  3. Step 3: Cross multiply
    20,667.50x = 31,001.27 × 6,816.50
  4. Step 4: Simplify right side
    20,667.50x = 211,320,156.96
  5. Step 5: Solve for x
    x = 211,320,156.96/20,667.50
  6. Step 6: Final answer
    x = 10,224.76

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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.