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Finding the Fourth Proportional to 2,684.25, 3,703 and 1,898.73

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Solution

The fourth proportional to 2,684.25, 3,703 and 1,898.73 is: 2,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.25 : 3,703 = 1,898.73 : x
  2. Step 2: Convert to fraction form
    2,684.25/3,703 = 1,898.73/x
  3. Step 3: Cross multiply
    2,684.25x = 3,703 × 1,898.73
  4. Step 4: Simplify right side
    2,684.25x = 7,030,997.19
  5. Step 5: Solve for x
    x = 7,030,997.19/2,684.25
  6. Step 6: Final answer
    x = 2,619.35

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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.