Home / 4,923-7,385.81-1,460.25

Finding the Fourth Proportional to 4,923, 7,385.81 and 1,460.25

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Solution

The fourth proportional to 4,923, 7,385.81 and 1,460.25 is: 2,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923 : 7,385.81 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    4,923/7,385.81 = 1,460.25/x
  3. Step 3: Cross multiply
    4,923x = 7,385.81 × 1,460.25
  4. Step 4: Simplify right side
    4,923x = 10,785,121.75
  5. Step 5: Solve for x
    x = 10,785,121.75/4,923
  6. Step 6: Final answer
    x = 2,190.76

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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.