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Finding the Fourth Proportional to 3,762.73, 5,643.09 and 1,421.23

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Solution

The fourth proportional to 3,762.73, 5,643.09 and 1,421.23 is: 2,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.73 : 5,643.09 = 1,421.23 : x
  2. Step 2: Convert to fraction form
    3,762.73/5,643.09 = 1,421.23/x
  3. Step 3: Cross multiply
    3,762.73x = 5,643.09 × 1,421.23
  4. Step 4: Simplify right side
    3,762.73x = 8,020,128.80
  5. Step 5: Solve for x
    x = 8,020,128.80/3,762.73
  6. Step 6: Final answer
    x = 2,131.47

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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.