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Finding the Fourth Proportional to 14,818, 20,449.48 and 8,194

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Solution

The fourth proportional to 14,818, 20,449.48 and 8,194 is: 11,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,818 : 20,449.48 = 8,194 : x
  2. Step 2: Convert to fraction form
    14,818/20,449.48 = 8,194/x
  3. Step 3: Cross multiply
    14,818x = 20,449.48 × 8,194
  4. Step 4: Simplify right side
    14,818x = 167,563,039.12
  5. Step 5: Solve for x
    x = 167,563,039.12/14,818
  6. Step 6: Final answer
    x = 11,308.07

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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.