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Finding the Fourth Proportional to 3,846.69, 5,308.44 and 2,078.30

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Solution

The fourth proportional to 3,846.69, 5,308.44 and 2,078.30 is: 2,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.69 : 5,308.44 = 2,078.30 : x
  2. Step 2: Convert to fraction form
    3,846.69/5,308.44 = 2,078.30/x
  3. Step 3: Cross multiply
    3,846.69x = 5,308.44 × 2,078.30
  4. Step 4: Simplify right side
    3,846.69x = 11,032,530.85
  5. Step 5: Solve for x
    x = 11,032,530.85/3,846.69
  6. Step 6: Final answer
    x = 2,868.06

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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.