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Finding the Fourth Proportional to 38,240.74, 57,369.21 and 11,947.46

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Solution

The fourth proportional to 38,240.74, 57,369.21 and 11,947.46 is: 17,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240.74 : 57,369.21 = 11,947.46 : x
  2. Step 2: Convert to fraction form
    38,240.74/57,369.21 = 11,947.46/x
  3. Step 3: Cross multiply
    38,240.74x = 57,369.21 × 11,947.46
  4. Step 4: Simplify right side
    38,240.74x = 685,416,281.97
  5. Step 5: Solve for x
    x = 685,416,281.97/38,240.74
  6. Step 6: Final answer
    x = 17,923.72

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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.