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Finding the Fourth Proportional to 3,763.45, 5,642.20 and 1,684.45

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Solution

The fourth proportional to 3,763.45, 5,642.20 and 1,684.45 is: 2,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.45 : 5,642.20 = 1,684.45 : x
  2. Step 2: Convert to fraction form
    3,763.45/5,642.20 = 1,684.45/x
  3. Step 3: Cross multiply
    3,763.45x = 5,642.20 × 1,684.45
  4. Step 4: Simplify right side
    3,763.45x = 9,504,003.79
  5. Step 5: Solve for x
    x = 9,504,003.79/3,763.45
  6. Step 6: Final answer
    x = 2,525.34

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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.