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Finding the Fourth Proportional to 14,743, 20,345.46 and 8,119

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Solution

The fourth proportional to 14,743, 20,345.46 and 8,119 is: 11,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743 : 20,345.46 = 8,119 : x
  2. Step 2: Convert to fraction form
    14,743/20,345.46 = 8,119/x
  3. Step 3: Cross multiply
    14,743x = 20,345.46 × 8,119
  4. Step 4: Simplify right side
    14,743x = 165,184,789.74
  5. Step 5: Solve for x
    x = 165,184,789.74/14,743
  6. Step 6: Final answer
    x = 11,204.29

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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.