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Finding the Fourth Proportional to 1,684.80, 2,540.67 and 1,661.71

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Solution

The fourth proportional to 1,684.80, 2,540.67 and 1,661.71 is: 2,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.80 : 2,540.67 = 1,661.71 : x
  2. Step 2: Convert to fraction form
    1,684.80/2,540.67 = 1,661.71/x
  3. Step 3: Cross multiply
    1,684.80x = 2,540.67 × 1,661.71
  4. Step 4: Simplify right side
    1,684.80x = 4,221,860.90
  5. Step 5: Solve for x
    x = 4,221,860.90/1,684.80
  6. Step 6: Final answer
    x = 2,505.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.