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Finding the Fourth Proportional to 13,842, 19,101.42 and 7,874.46

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Solution

The fourth proportional to 13,842, 19,101.42 and 7,874.46 is: 10,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842 : 19,101.42 = 7,874.46 : x
  2. Step 2: Convert to fraction form
    13,842/19,101.42 = 7,874.46/x
  3. Step 3: Cross multiply
    13,842x = 19,101.42 × 7,874.46
  4. Step 4: Simplify right side
    13,842x = 150,413,367.73
  5. Step 5: Solve for x
    x = 150,413,367.73/13,842
  6. Step 6: Final answer
    x = 10,866.45

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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.