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Finding the Fourth Proportional to 13,762.14, 18,991.67 and 7,474.46

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Solution

The fourth proportional to 13,762.14, 18,991.67 and 7,474.46 is: 10,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.14 : 18,991.67 = 7,474.46 : x
  2. Step 2: Convert to fraction form
    13,762.14/18,991.67 = 7,474.46/x
  3. Step 3: Cross multiply
    13,762.14x = 18,991.67 × 7,474.46
  4. Step 4: Simplify right side
    13,762.14x = 141,952,477.75
  5. Step 5: Solve for x
    x = 141,952,477.75/13,762.14
  6. Step 6: Final answer
    x = 10,314.71

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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.