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Finding the Fourth Proportional to 19,211, 28,809.56 and 8,118.54

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Solution

The fourth proportional to 19,211, 28,809.56 and 8,118.54 is: 12,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,211 : 28,809.56 = 8,118.54 : x
  2. Step 2: Convert to fraction form
    19,211/28,809.56 = 8,118.54/x
  3. Step 3: Cross multiply
    19,211x = 28,809.56 × 8,118.54
  4. Step 4: Simplify right side
    19,211x = 233,891,565.24
  5. Step 5: Solve for x
    x = 233,891,565.24/19,211
  6. Step 6: Final answer
    x = 12,174.88

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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.