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Finding the Fourth Proportional to 14,742, 20,344.08 and 8,118

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Solution

The fourth proportional to 14,742, 20,344.08 and 8,118 is: 11,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 20,344.08 = 8,118 : x
  2. Step 2: Convert to fraction form
    14,742/20,344.08 = 8,118/x
  3. Step 3: Cross multiply
    14,742x = 20,344.08 × 8,118
  4. Step 4: Simplify right side
    14,742x = 165,153,241.44
  5. Step 5: Solve for x
    x = 165,153,241.44/14,742
  6. Step 6: Final answer
    x = 11,202.91

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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.