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Finding the Fourth Proportional to 13,861, 19,127.10 and 7,891.46

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Solution

The fourth proportional to 13,861, 19,127.10 and 7,891.46 is: 10,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861 : 19,127.10 = 7,891.46 : x
  2. Step 2: Convert to fraction form
    13,861/19,127.10 = 7,891.46/x
  3. Step 3: Cross multiply
    13,861x = 19,127.10 × 7,891.46
  4. Step 4: Simplify right side
    13,861x = 150,940,744.57
  5. Step 5: Solve for x
    x = 150,940,744.57/13,861
  6. Step 6: Final answer
    x = 10,889.60

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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.