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Finding the Fourth Proportional to 2,676.36, 3,693.79 and 1,681.77

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Solution

The fourth proportional to 2,676.36, 3,693.79 and 1,681.77 is: 2,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.36 : 3,693.79 = 1,681.77 : x
  2. Step 2: Convert to fraction form
    2,676.36/3,693.79 = 1,681.77/x
  3. Step 3: Cross multiply
    2,676.36x = 3,693.79 × 1,681.77
  4. Step 4: Simplify right side
    2,676.36x = 6,212,105.21
  5. Step 5: Solve for x
    x = 6,212,105.21/2,676.36
  6. Step 6: Final answer
    x = 2,321.10

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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.