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Finding the Fourth Proportional to 13,946, 19,249.80 and 8,978

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Solution

The fourth proportional to 13,946, 19,249.80 and 8,978 is: 12,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946 : 19,249.80 = 8,978 : x
  2. Step 2: Convert to fraction form
    13,946/19,249.80 = 8,978/x
  3. Step 3: Cross multiply
    13,946x = 19,249.80 × 8,978
  4. Step 4: Simplify right side
    13,946x = 172,824,704.40
  5. Step 5: Solve for x
    x = 172,824,704.40/13,946
  6. Step 6: Final answer
    x = 12,392.42

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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.