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Finding the Fourth Proportional to 19,138.80, 28,707.84 and 7,891.68

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Solution

The fourth proportional to 19,138.80, 28,707.84 and 7,891.68 is: 11,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.80 : 28,707.84 = 7,891.68 : x
  2. Step 2: Convert to fraction form
    19,138.80/28,707.84 = 7,891.68/x
  3. Step 3: Cross multiply
    19,138.80x = 28,707.84 × 7,891.68
  4. Step 4: Simplify right side
    19,138.80x = 226,553,086.77
  5. Step 5: Solve for x
    x = 226,553,086.77/19,138.80
  6. Step 6: Final answer
    x = 11,837.37

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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.