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Finding the Fourth Proportional to 14,212.92, 19,612.62 and 7,923.96

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Solution

The fourth proportional to 14,212.92, 19,612.62 and 7,923.96 is: 10,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.92 : 19,612.62 = 7,923.96 : x
  2. Step 2: Convert to fraction form
    14,212.92/19,612.62 = 7,923.96/x
  3. Step 3: Cross multiply
    14,212.92x = 19,612.62 × 7,923.96
  4. Step 4: Simplify right side
    14,212.92x = 155,409,616.38
  5. Step 5: Solve for x
    x = 155,409,616.38/14,212.92
  6. Step 6: Final answer
    x = 10,934.39

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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.