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Finding the Fourth Proportional to 8,667.81, 13,001.72 and 2,824.88

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Solution

The fourth proportional to 8,667.81, 13,001.72 and 2,824.88 is: 4,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.81 : 13,001.72 = 2,824.88 : x
  2. Step 2: Convert to fraction form
    8,667.81/13,001.72 = 2,824.88/x
  3. Step 3: Cross multiply
    8,667.81x = 13,001.72 × 2,824.88
  4. Step 4: Simplify right side
    8,667.81x = 36,728,219.66
  5. Step 5: Solve for x
    x = 36,728,219.66/8,667.81
  6. Step 6: Final answer
    x = 4,237.31

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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.