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Finding the Fourth Proportional to 13,097, 19,649.10 and 3,863

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Solution

The fourth proportional to 13,097, 19,649.10 and 3,863 is: 5,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097 : 19,649.10 = 3,863 : x
  2. Step 2: Convert to fraction form
    13,097/19,649.10 = 3,863/x
  3. Step 3: Cross multiply
    13,097x = 19,649.10 × 3,863
  4. Step 4: Simplify right side
    13,097x = 75,904,473.30
  5. Step 5: Solve for x
    x = 75,904,473.30/13,097
  6. Step 6: Final answer
    x = 5,795.56

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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.