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Finding the Fourth Proportional to 13,762.37, 18,991.68 and 7,794.60

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Solution

The fourth proportional to 13,762.37, 18,991.68 and 7,794.60 is: 10,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.37 : 18,991.68 = 7,794.60 : x
  2. Step 2: Convert to fraction form
    13,762.37/18,991.68 = 7,794.60/x
  3. Step 3: Cross multiply
    13,762.37x = 18,991.68 × 7,794.60
  4. Step 4: Simplify right side
    13,762.37x = 148,032,548.93
  5. Step 5: Solve for x
    x = 148,032,548.93/13,762.37
  6. Step 6: Final answer
    x = 10,756.33

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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.