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Finding the Fourth Proportional to 2,662.68, 3,676.84 and 1,669.68

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Solution

The fourth proportional to 2,662.68, 3,676.84 and 1,669.68 is: 2,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.68 : 3,676.84 = 1,669.68 : x
  2. Step 2: Convert to fraction form
    2,662.68/3,676.84 = 1,669.68/x
  3. Step 3: Cross multiply
    2,662.68x = 3,676.84 × 1,669.68
  4. Step 4: Simplify right side
    2,662.68x = 6,139,146.21
  5. Step 5: Solve for x
    x = 6,139,146.21/2,662.68
  6. Step 6: Final answer
    x = 2,305.63

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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.