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Finding the Fourth Proportional to 13,744.68, 18,964.49 and 7,775.06

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Solution

The fourth proportional to 13,744.68, 18,964.49 and 7,775.06 is: 10,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.68 : 18,964.49 = 7,775.06 : x
  2. Step 2: Convert to fraction form
    13,744.68/18,964.49 = 7,775.06/x
  3. Step 3: Cross multiply
    13,744.68x = 18,964.49 × 7,775.06
  4. Step 4: Simplify right side
    13,744.68x = 147,450,047.62
  5. Step 5: Solve for x
    x = 147,450,047.62/13,744.68
  6. Step 6: Final answer
    x = 10,727.79

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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.