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Finding the Fourth Proportional to 14,739, 20,340 and 8,451.96

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Solution

The fourth proportional to 14,739, 20,340 and 8,451.96 is: 11,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739 : 20,340 = 8,451.96 : x
  2. Step 2: Convert to fraction form
    14,739/20,340 = 8,451.96/x
  3. Step 3: Cross multiply
    14,739x = 20,340 × 8,451.96
  4. Step 4: Simplify right side
    14,739x = 171,912,866.40
  5. Step 5: Solve for x
    x = 171,912,866.40/14,739
  6. Step 6: Final answer
    x = 11,663.81

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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.