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Finding the Fourth Proportional to 27,174.09, 40,756.78 and 7,448.07

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Solution

The fourth proportional to 27,174.09, 40,756.78 and 7,448.07 is: 11,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.09 : 40,756.78 = 7,448.07 : x
  2. Step 2: Convert to fraction form
    27,174.09/40,756.78 = 7,448.07/x
  3. Step 3: Cross multiply
    27,174.09x = 40,756.78 × 7,448.07
  4. Step 4: Simplify right side
    27,174.09x = 303,559,350.41
  5. Step 5: Solve for x
    x = 303,559,350.41/27,174.09
  6. Step 6: Final answer
    x = 11,170.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.