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Finding the Fourth Proportional to 13,718.97, 18,929.97 and 7,750.49

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Solution

The fourth proportional to 13,718.97, 18,929.97 and 7,750.49 is: 10,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.97 : 18,929.97 = 7,750.49 : x
  2. Step 2: Convert to fraction form
    13,718.97/18,929.97 = 7,750.49/x
  3. Step 3: Cross multiply
    13,718.97x = 18,929.97 × 7,750.49
  4. Step 4: Simplify right side
    13,718.97x = 146,716,448.54
  5. Step 5: Solve for x
    x = 146,716,448.54/13,718.97
  6. Step 6: Final answer
    x = 10,694.42

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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.