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Finding the Fourth Proportional to 4,930.75, 7,386.81 and 3,822.06

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Solution

The fourth proportional to 4,930.75, 7,386.81 and 3,822.06 is: 5,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.75 : 7,386.81 = 3,822.06 : x
  2. Step 2: Convert to fraction form
    4,930.75/7,386.81 = 3,822.06/x
  3. Step 3: Cross multiply
    4,930.75x = 7,386.81 × 3,822.06
  4. Step 4: Simplify right side
    4,930.75x = 28,232,831.03
  5. Step 5: Solve for x
    x = 28,232,831.03/4,930.75
  6. Step 6: Final answer
    x = 5,725.87

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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.