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Finding the Fourth Proportional to 3,762.32, 5,640.12 and 1,912.40

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Solution

The fourth proportional to 3,762.32, 5,640.12 and 1,912.40 is: 2,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.32 : 5,640.12 = 1,912.40 : x
  2. Step 2: Convert to fraction form
    3,762.32/5,640.12 = 1,912.40/x
  3. Step 3: Cross multiply
    3,762.32x = 5,640.12 × 1,912.40
  4. Step 4: Simplify right side
    3,762.32x = 10,786,165.49
  5. Step 5: Solve for x
    x = 10,786,165.49/3,762.32
  6. Step 6: Final answer
    x = 2,866.89

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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.