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Finding the Fourth Proportional to 3,868.53, 5,802.90 and 946.83

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Solution

The fourth proportional to 3,868.53, 5,802.90 and 946.83 is: 1,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.53 : 5,802.90 = 946.83 : x
  2. Step 2: Convert to fraction form
    3,868.53/5,802.90 = 946.83/x
  3. Step 3: Cross multiply
    3,868.53x = 5,802.90 × 946.83
  4. Step 4: Simplify right side
    3,868.53x = 5,494,350.70
  5. Step 5: Solve for x
    x = 5,494,350.70/3,868.53
  6. Step 6: Final answer
    x = 1,420.27

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