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Finding the Fourth Proportional to 12,828, 19,186.41 and 7,550.43

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Solution

The fourth proportional to 12,828, 19,186.41 and 7,550.43 is: 11,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828 : 19,186.41 = 7,550.43 : x
  2. Step 2: Convert to fraction form
    12,828/19,186.41 = 7,550.43/x
  3. Step 3: Cross multiply
    12,828x = 19,186.41 × 7,550.43
  4. Step 4: Simplify right side
    12,828x = 144,865,645.66
  5. Step 5: Solve for x
    x = 144,865,645.66/12,828
  6. Step 6: Final answer
    x = 11,292.93

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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.