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Finding the Fourth Proportional to 3,762.90, 5,638.10 and 2,661.80

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Solution

The fourth proportional to 3,762.90, 5,638.10 and 2,661.80 is: 3,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.90 : 5,638.10 = 2,661.80 : x
  2. Step 2: Convert to fraction form
    3,762.90/5,638.10 = 2,661.80/x
  3. Step 3: Cross multiply
    3,762.90x = 5,638.10 × 2,661.80
  4. Step 4: Simplify right side
    3,762.90x = 15,007,453.08
  5. Step 5: Solve for x
    x = 15,007,453.08/3,762.90
  6. Step 6: Final answer
    x = 3,988.27

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1.5x scale

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.