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Finding the Fourth Proportional to 3,912.54, 5,870.64 and 1,830

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Solution

The fourth proportional to 3,912.54, 5,870.64 and 1,830 is: 2,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.54 : 5,870.64 = 1,830 : x
  2. Step 2: Convert to fraction form
    3,912.54/5,870.64 = 1,830/x
  3. Step 3: Cross multiply
    3,912.54x = 5,870.64 × 1,830
  4. Step 4: Simplify right side
    3,912.54x = 10,743,271.20
  5. Step 5: Solve for x
    x = 10,743,271.20/3,912.54
  6. Step 6: Final answer
    x = 2,745.86

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Why These Related Problems?

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