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Finding the Fourth Proportional to 20,768.42, 28,656.04 and 13,212

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Solution

The fourth proportional to 20,768.42, 28,656.04 and 13,212 is: 18,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.42 : 28,656.04 = 13,212 : x
  2. Step 2: Convert to fraction form
    20,768.42/28,656.04 = 13,212/x
  3. Step 3: Cross multiply
    20,768.42x = 28,656.04 × 13,212
  4. Step 4: Simplify right side
    20,768.42x = 378,603,600.48
  5. Step 5: Solve for x
    x = 378,603,600.48/20,768.42
  6. Step 6: Final answer
    x = 18,229.77

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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.