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Finding the Fourth Proportional to 13,131, 19,696.50 and 3,897

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Solution

The fourth proportional to 13,131, 19,696.50 and 3,897 is: 5,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131 : 19,696.50 = 3,897 : x
  2. Step 2: Convert to fraction form
    13,131/19,696.50 = 3,897/x
  3. Step 3: Cross multiply
    13,131x = 19,696.50 × 3,897
  4. Step 4: Simplify right side
    13,131x = 76,757,260.50
  5. Step 5: Solve for x
    x = 76,757,260.50/13,131
  6. Step 6: Final answer
    x = 5,845.50

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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.