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Finding the Fourth Proportional to 13,716.73, 18,930.14 and 7,749.06

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Solution

The fourth proportional to 13,716.73, 18,930.14 and 7,749.06 is: 10,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.73 : 18,930.14 = 7,749.06 : x
  2. Step 2: Convert to fraction form
    13,716.73/18,930.14 = 7,749.06/x
  3. Step 3: Cross multiply
    13,716.73x = 18,930.14 × 7,749.06
  4. Step 4: Simplify right side
    13,716.73x = 146,690,790.67
  5. Step 5: Solve for x
    x = 146,690,790.67/13,716.73
  6. Step 6: Final answer
    x = 10,694.30

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1.5x scale

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.