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Finding the Fourth Proportional to 20,394.81, 28,144.40 and 11,781

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Solution

The fourth proportional to 20,394.81, 28,144.40 and 11,781 is: 16,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394.81 : 28,144.40 = 11,781 : x
  2. Step 2: Convert to fraction form
    20,394.81/28,144.40 = 11,781/x
  3. Step 3: Cross multiply
    20,394.81x = 28,144.40 × 11,781
  4. Step 4: Simplify right side
    20,394.81x = 331,569,117.50
  5. Step 5: Solve for x
    x = 331,569,117.50/20,394.81
  6. Step 6: Final answer
    x = 16,257.52

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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.