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Finding the Fourth Proportional to 2,661.84, 3,992.94 and 2,083.68

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Solution

The fourth proportional to 2,661.84, 3,992.94 and 2,083.68 is: 3,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,992.94 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,992.94 = 2,083.68/x
  3. Step 3: Cross multiply
    2,661.84x = 3,992.94 × 2,083.68
  4. Step 4: Simplify right side
    2,661.84x = 8,320,009.22
  5. Step 5: Solve for x
    x = 8,320,009.22/2,661.84
  6. Step 6: Final answer
    x = 3,125.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.