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Finding the Fourth Proportional to 19,194, 28,744.56 and 9,308.80

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Solution

The fourth proportional to 19,194, 28,744.56 and 9,308.80 is: 13,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194 : 28,744.56 = 9,308.80 : x
  2. Step 2: Convert to fraction form
    19,194/28,744.56 = 9,308.80/x
  3. Step 3: Cross multiply
    19,194x = 28,744.56 × 9,308.80
  4. Step 4: Simplify right side
    19,194x = 267,577,360.13
  5. Step 5: Solve for x
    x = 267,577,360.13/19,194
  6. Step 6: Final answer
    x = 13,940.68

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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.