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Finding the Fourth Proportional to 19,814.14, 29,730.88 and 8,719.44

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Solution

The fourth proportional to 19,814.14, 29,730.88 and 8,719.44 is: 13,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.14 : 29,730.88 = 8,719.44 : x
  2. Step 2: Convert to fraction form
    19,814.14/29,730.88 = 8,719.44/x
  3. Step 3: Cross multiply
    19,814.14x = 29,730.88 × 8,719.44
  4. Step 4: Simplify right side
    19,814.14x = 259,236,624.31
  5. Step 5: Solve for x
    x = 259,236,624.31/19,814.14
  6. Step 6: Final answer
    x = 13,083.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.