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Finding the Fourth Proportional to 3,762.70, 5,641.58 and 1,911.24

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Solution

The fourth proportional to 3,762.70, 5,641.58 and 1,911.24 is: 2,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.70 : 5,641.58 = 1,911.24 : x
  2. Step 2: Convert to fraction form
    3,762.70/5,641.58 = 1,911.24/x
  3. Step 3: Cross multiply
    3,762.70x = 5,641.58 × 1,911.24
  4. Step 4: Simplify right side
    3,762.70x = 10,782,418.14
  5. Step 5: Solve for x
    x = 10,782,418.14/3,762.70
  6. Step 6: Final answer
    x = 2,865.61

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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.