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Finding the Fourth Proportional to 13,462, 20,193.18 and 4,228

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Solution

The fourth proportional to 13,462, 20,193.18 and 4,228 is: 6,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462 : 20,193.18 = 4,228 : x
  2. Step 2: Convert to fraction form
    13,462/20,193.18 = 4,228/x
  3. Step 3: Cross multiply
    13,462x = 20,193.18 × 4,228
  4. Step 4: Simplify right side
    13,462x = 85,376,765.04
  5. Step 5: Solve for x
    x = 85,376,765.04/13,462
  6. Step 6: Final answer
    x = 6,342.06

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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.