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Finding the Fourth Proportional to 2,856, 3,940.20 and 1,676.64

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Solution

The fourth proportional to 2,856, 3,940.20 and 1,676.64 is: 2,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856 : 3,940.20 = 1,676.64 : x
  2. Step 2: Convert to fraction form
    2,856/3,940.20 = 1,676.64/x
  3. Step 3: Cross multiply
    2,856x = 3,940.20 × 1,676.64
  4. Step 4: Simplify right side
    2,856x = 6,606,296.93
  5. Step 5: Solve for x
    x = 6,606,296.93/2,856
  6. Step 6: Final answer
    x = 2,313.13

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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.