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Finding the Fourth Proportional to 26,920, 40,380.36 and 8,452

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Solution

The fourth proportional to 26,920, 40,380.36 and 8,452 is: 12,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920 : 40,380.36 = 8,452 : x
  2. Step 2: Convert to fraction form
    26,920/40,380.36 = 8,452/x
  3. Step 3: Cross multiply
    26,920x = 40,380.36 × 8,452
  4. Step 4: Simplify right side
    26,920x = 341,294,802.72
  5. Step 5: Solve for x
    x = 341,294,802.72/26,920
  6. Step 6: Final answer
    x = 12,678.11

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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.