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Finding the Fourth Proportional to 19,137, 28,706.58 and 6,825

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Solution

The fourth proportional to 19,137, 28,706.58 and 6,825 is: 10,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,137 : 28,706.58 = 6,825 : x
  2. Step 2: Convert to fraction form
    19,137/28,706.58 = 6,825/x
  3. Step 3: Cross multiply
    19,137x = 28,706.58 × 6,825
  4. Step 4: Simplify right side
    19,137x = 195,922,408.50
  5. Step 5: Solve for x
    x = 195,922,408.50/19,137
  6. Step 6: Final answer
    x = 10,237.89

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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.