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Finding the Fourth Proportional to 20,648.67, 30,973 and 8,961.63

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Solution

The fourth proportional to 20,648.67, 30,973 and 8,961.63 is: 13,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.67 : 30,973 = 8,961.63 : x
  2. Step 2: Convert to fraction form
    20,648.67/30,973 = 8,961.63/x
  3. Step 3: Cross multiply
    20,648.67x = 30,973 × 8,961.63
  4. Step 4: Simplify right side
    20,648.67x = 277,568,565.99
  5. Step 5: Solve for x
    x = 277,568,565.99/20,648.67
  6. Step 6: Final answer
    x = 13,442.44

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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.