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Finding the Fourth Proportional to 14,678, 20,255.64 and 8,054

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Solution

The fourth proportional to 14,678, 20,255.64 and 8,054 is: 11,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678 : 20,255.64 = 8,054 : x
  2. Step 2: Convert to fraction form
    14,678/20,255.64 = 8,054/x
  3. Step 3: Cross multiply
    14,678x = 20,255.64 × 8,054
  4. Step 4: Simplify right side
    14,678x = 163,138,924.56
  5. Step 5: Solve for x
    x = 163,138,924.56/14,678
  6. Step 6: Final answer
    x = 11,114.52

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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.