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Finding the Fourth Proportional to 19,314.92, 28,991.82 and 14,105

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Solution

The fourth proportional to 19,314.92, 28,991.82 and 14,105 is: 21,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.92 : 28,991.82 = 14,105 : x
  2. Step 2: Convert to fraction form
    19,314.92/28,991.82 = 14,105/x
  3. Step 3: Cross multiply
    19,314.92x = 28,991.82 × 14,105
  4. Step 4: Simplify right side
    19,314.92x = 408,929,621.10
  5. Step 5: Solve for x
    x = 408,929,621.10/19,314.92
  6. Step 6: Final answer
    x = 21,171.70

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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.