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Finding the Fourth Proportional to 15,768.81, 23,667.80 and 7,983.09

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Solution

The fourth proportional to 15,768.81, 23,667.80 and 7,983.09 is: 11,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.81 : 23,667.80 = 7,983.09 : x
  2. Step 2: Convert to fraction form
    15,768.81/23,667.80 = 7,983.09/x
  3. Step 3: Cross multiply
    15,768.81x = 23,667.80 × 7,983.09
  4. Step 4: Simplify right side
    15,768.81x = 188,942,137.59
  5. Step 5: Solve for x
    x = 188,942,137.59/15,768.81
  6. Step 6: Final answer
    x = 11,982.02

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1.5x scale

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.