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Finding the Fourth Proportional to 13,667.36, 18,860.96 and 8,006

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Solution

The fourth proportional to 13,667.36, 18,860.96 and 8,006 is: 11,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.36 : 18,860.96 = 8,006 : x
  2. Step 2: Convert to fraction form
    13,667.36/18,860.96 = 8,006/x
  3. Step 3: Cross multiply
    13,667.36x = 18,860.96 × 8,006
  4. Step 4: Simplify right side
    13,667.36x = 151,000,845.76
  5. Step 5: Solve for x
    x = 151,000,845.76/13,667.36
  6. Step 6: Final answer
    x = 11,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.