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Finding the Fourth Proportional to 14,746, 20,349.48 and 8,122

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Solution

The fourth proportional to 14,746, 20,349.48 and 8,122 is: 11,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746 : 20,349.48 = 8,122 : x
  2. Step 2: Convert to fraction form
    14,746/20,349.48 = 8,122/x
  3. Step 3: Cross multiply
    14,746x = 20,349.48 × 8,122
  4. Step 4: Simplify right side
    14,746x = 165,278,476.56
  5. Step 5: Solve for x
    x = 165,278,476.56/14,746
  6. Step 6: Final answer
    x = 11,208.36

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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.