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Finding the Fourth Proportional to 19,180, 28,704.84 and 11,780.56

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Solution

The fourth proportional to 19,180, 28,704.84 and 11,780.56 is: 17,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180 : 28,704.84 = 11,780.56 : x
  2. Step 2: Convert to fraction form
    19,180/28,704.84 = 11,780.56/x
  3. Step 3: Cross multiply
    19,180x = 28,704.84 × 11,780.56
  4. Step 4: Simplify right side
    19,180x = 338,159,089.91
  5. Step 5: Solve for x
    x = 338,159,089.91/19,180
  6. Step 6: Final answer
    x = 17,630.82

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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.