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Finding the Fourth Proportional to 13,689, 18,890.82 and 8,100

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Solution

The fourth proportional to 13,689, 18,890.82 and 8,100 is: 11,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 18,890.82 = 8,100 : x
  2. Step 2: Convert to fraction form
    13,689/18,890.82 = 8,100/x
  3. Step 3: Cross multiply
    13,689x = 18,890.82 × 8,100
  4. Step 4: Simplify right side
    13,689x = 153,015,642
  5. Step 5: Solve for x
    x = 153,015,642/13,689
  6. Step 6: Final answer
    x = 11,178

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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.