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Finding the Fourth Proportional to 20,448, 30,653.79 and 7,965.11

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Solution

The fourth proportional to 20,448, 30,653.79 and 7,965.11 is: 11,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 30,653.79 = 7,965.11 : x
  2. Step 2: Convert to fraction form
    20,448/30,653.79 = 7,965.11/x
  3. Step 3: Cross multiply
    20,448x = 30,653.79 × 7,965.11
  4. Step 4: Simplify right side
    20,448x = 244,160,656.00
  5. Step 5: Solve for x
    x = 244,160,656.00/20,448
  6. Step 6: Final answer
    x = 11,940.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.