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Finding the Fourth Proportional to 20,383.92, 30,603.96 and 10,530

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Solution

The fourth proportional to 20,383.92, 30,603.96 and 10,530 is: 15,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.92 : 30,603.96 = 10,530 : x
  2. Step 2: Convert to fraction form
    20,383.92/30,603.96 = 10,530/x
  3. Step 3: Cross multiply
    20,383.92x = 30,603.96 × 10,530
  4. Step 4: Simplify right side
    20,383.92x = 322,259,698.80
  5. Step 5: Solve for x
    x = 322,259,698.80/20,383.92
  6. Step 6: Final answer
    x = 15,809.51

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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.