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Finding the Fourth Proportional to 20,627.82, 30,916.32 and 8,135.28

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Solution

The fourth proportional to 20,627.82, 30,916.32 and 8,135.28 is: 12,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.82 : 30,916.32 = 8,135.28 : x
  2. Step 2: Convert to fraction form
    20,627.82/30,916.32 = 8,135.28/x
  3. Step 3: Cross multiply
    20,627.82x = 30,916.32 × 8,135.28
  4. Step 4: Simplify right side
    20,627.82x = 251,512,919.77
  5. Step 5: Solve for x
    x = 251,512,919.77/20,627.82
  6. Step 6: Final answer
    x = 12,192.90

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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.