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Finding the Fourth Proportional to 18,645, 27,971.34 and 7,701

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Solution

The fourth proportional to 18,645, 27,971.34 and 7,701 is: 11,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645 : 27,971.34 = 7,701 : x
  2. Step 2: Convert to fraction form
    18,645/27,971.34 = 7,701/x
  3. Step 3: Cross multiply
    18,645x = 27,971.34 × 7,701
  4. Step 4: Simplify right side
    18,645x = 215,407,289.34
  5. Step 5: Solve for x
    x = 215,407,289.34/18,645
  6. Step 6: Final answer
    x = 11,553.09

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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.