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Finding the Fourth Proportional to 13,380.55, 20,057.15 and 9,673.58

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Solution

The fourth proportional to 13,380.55, 20,057.15 and 9,673.58 is: 14,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.55 : 20,057.15 = 9,673.58 : x
  2. Step 2: Convert to fraction form
    13,380.55/20,057.15 = 9,673.58/x
  3. Step 3: Cross multiply
    13,380.55x = 20,057.15 × 9,673.58
  4. Step 4: Simplify right side
    13,380.55x = 194,024,519.42
  5. Step 5: Solve for x
    x = 194,024,519.42/13,380.55
  6. Step 6: Final answer
    x = 14,500.49

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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.