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Finding the Fourth Proportional to 19,190, 28,798.05 and 6,878

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Solution

The fourth proportional to 19,190, 28,798.05 and 6,878 is: 10,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,190 : 28,798.05 = 6,878 : x
  2. Step 2: Convert to fraction form
    19,190/28,798.05 = 6,878/x
  3. Step 3: Cross multiply
    19,190x = 28,798.05 × 6,878
  4. Step 4: Simplify right side
    19,190x = 198,072,987.90
  5. Step 5: Solve for x
    x = 198,072,987.90/19,190
  6. Step 6: Final answer
    x = 10,321.68

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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.