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Finding the Fourth Proportional to 2,684.51, 3,704.79 and 1,786.71

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Solution

The fourth proportional to 2,684.51, 3,704.79 and 1,786.71 is: 2,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.51 : 3,704.79 = 1,786.71 : x
  2. Step 2: Convert to fraction form
    2,684.51/3,704.79 = 1,786.71/x
  3. Step 3: Cross multiply
    2,684.51x = 3,704.79 × 1,786.71
  4. Step 4: Simplify right side
    2,684.51x = 6,619,375.04
  5. Step 5: Solve for x
    x = 6,619,375.04/2,684.51
  6. Step 6: Final answer
    x = 2,465.77

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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.