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Finding the Fourth Proportional to 13,678, 18,880.50 and 8,089

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Solution

The fourth proportional to 13,678, 18,880.50 and 8,089 is: 11,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678 : 18,880.50 = 8,089 : x
  2. Step 2: Convert to fraction form
    13,678/18,880.50 = 8,089/x
  3. Step 3: Cross multiply
    13,678x = 18,880.50 × 8,089
  4. Step 4: Simplify right side
    13,678x = 152,724,364.50
  5. Step 5: Solve for x
    x = 152,724,364.50/13,678
  6. Step 6: Final answer
    x = 11,165.69

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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.