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Finding the Fourth Proportional to 14,478, 19,979.73 and 8,191.68

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Solution

The fourth proportional to 14,478, 19,979.73 and 8,191.68 is: 11,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478 : 19,979.73 = 8,191.68 : x
  2. Step 2: Convert to fraction form
    14,478/19,979.73 = 8,191.68/x
  3. Step 3: Cross multiply
    14,478x = 19,979.73 × 8,191.68
  4. Step 4: Simplify right side
    14,478x = 163,667,554.65
  5. Step 5: Solve for x
    x = 163,667,554.65/14,478
  6. Step 6: Final answer
    x = 11,304.57

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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.