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Finding the Fourth Proportional to 20,770.42, 28,658.80 and 13,214

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Solution

The fourth proportional to 20,770.42, 28,658.80 and 13,214 is: 18,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.42 : 28,658.80 = 13,214 : x
  2. Step 2: Convert to fraction form
    20,770.42/28,658.80 = 13,214/x
  3. Step 3: Cross multiply
    20,770.42x = 28,658.80 × 13,214
  4. Step 4: Simplify right side
    20,770.42x = 378,697,383.20
  5. Step 5: Solve for x
    x = 378,697,383.20/20,770.42
  6. Step 6: Final answer
    x = 18,232.53

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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.