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Finding the Fourth Proportional to 14,729, 20,326.18 and 8,105

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Solution

The fourth proportional to 14,729, 20,326.18 and 8,105 is: 11,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729 : 20,326.18 = 8,105 : x
  2. Step 2: Convert to fraction form
    14,729/20,326.18 = 8,105/x
  3. Step 3: Cross multiply
    14,729x = 20,326.18 × 8,105
  4. Step 4: Simplify right side
    14,729x = 164,743,688.90
  5. Step 5: Solve for x
    x = 164,743,688.90/14,729
  6. Step 6: Final answer
    x = 11,184.99

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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.