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Finding the Fourth Proportional to 2,651.94, 3,658.05 and 1,906.91

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Solution

The fourth proportional to 2,651.94, 3,658.05 and 1,906.91 is: 2,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.94 : 3,658.05 = 1,906.91 : x
  2. Step 2: Convert to fraction form
    2,651.94/3,658.05 = 1,906.91/x
  3. Step 3: Cross multiply
    2,651.94x = 3,658.05 × 1,906.91
  4. Step 4: Simplify right side
    2,651.94x = 6,975,553.84
  5. Step 5: Solve for x
    x = 6,975,553.84/2,651.94
  6. Step 6: Final answer
    x = 2,630.36

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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.