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Finding the Fourth Proportional to 13,783.92, 19,021.77 and 7,496.25

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Solution

The fourth proportional to 13,783.92, 19,021.77 and 7,496.25 is: 10,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.92 : 19,021.77 = 7,496.25 : x
  2. Step 2: Convert to fraction form
    13,783.92/19,021.77 = 7,496.25/x
  3. Step 3: Cross multiply
    13,783.92x = 19,021.77 × 7,496.25
  4. Step 4: Simplify right side
    13,783.92x = 142,591,943.36
  5. Step 5: Solve for x
    x = 142,591,943.36/13,783.92
  6. Step 6: Final answer
    x = 10,344.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.