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Finding the Fourth Proportional to 13,518, 20,277.92 and 4,157.44

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Solution

The fourth proportional to 13,518, 20,277.92 and 4,157.44 is: 6,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518 : 20,277.92 = 4,157.44 : x
  2. Step 2: Convert to fraction form
    13,518/20,277.92 = 4,157.44/x
  3. Step 3: Cross multiply
    13,518x = 20,277.92 × 4,157.44
  4. Step 4: Simplify right side
    13,518x = 84,304,235.72
  5. Step 5: Solve for x
    x = 84,304,235.72/13,518
  6. Step 6: Final answer
    x = 6,236.44

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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.