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Finding the Fourth Proportional to 20,874.34, 28,808 and 11,796.55

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Solution

The fourth proportional to 20,874.34, 28,808 and 11,796.55 is: 16,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.34 : 28,808 = 11,796.55 : x
  2. Step 2: Convert to fraction form
    20,874.34/28,808 = 11,796.55/x
  3. Step 3: Cross multiply
    20,874.34x = 28,808 × 11,796.55
  4. Step 4: Simplify right side
    20,874.34x = 339,835,012.40
  5. Step 5: Solve for x
    x = 339,835,012.40/20,874.34
  6. Step 6: Final answer
    x = 16,280.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.