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Finding the Fourth Proportional to 13,667.08, 18,859.62 and 8,077

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Solution

The fourth proportional to 13,667.08, 18,859.62 and 8,077 is: 11,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.08 : 18,859.62 = 8,077 : x
  2. Step 2: Convert to fraction form
    13,667.08/18,859.62 = 8,077/x
  3. Step 3: Cross multiply
    13,667.08x = 18,859.62 × 8,077
  4. Step 4: Simplify right side
    13,667.08x = 152,329,150.74
  5. Step 5: Solve for x
    x = 152,329,150.74/13,667.08
  6. Step 6: Final answer
    x = 11,145.70

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