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Finding the Fourth Proportional to 2,684.80, 3,704.97 and 1,506.25

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Solution

The fourth proportional to 2,684.80, 3,704.97 and 1,506.25 is: 2,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.80 : 3,704.97 = 1,506.25 : x
  2. Step 2: Convert to fraction form
    2,684.80/3,704.97 = 1,506.25/x
  3. Step 3: Cross multiply
    2,684.80x = 3,704.97 × 1,506.25
  4. Step 4: Simplify right side
    2,684.80x = 5,580,611.06
  5. Step 5: Solve for x
    x = 5,580,611.06/2,684.80
  6. Step 6: Final answer
    x = 2,078.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.