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Finding the Fourth Proportional to 3,763.90, 5,644.20 and 1,790.10

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Solution

The fourth proportional to 3,763.90, 5,644.20 and 1,790.10 is: 2,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.90 : 5,644.20 = 1,790.10 : x
  2. Step 2: Convert to fraction form
    3,763.90/5,644.20 = 1,790.10/x
  3. Step 3: Cross multiply
    3,763.90x = 5,644.20 × 1,790.10
  4. Step 4: Simplify right side
    3,763.90x = 10,103,679.06
  5. Step 5: Solve for x
    x = 10,103,679.06/3,763.90
  6. Step 6: Final answer
    x = 2,684.36

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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.