Home / 2,277.66-3,418.32-1,661.64

Finding the Fourth Proportional to 2,277.66, 3,418.32 and 1,661.64

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Solution

The fourth proportional to 2,277.66, 3,418.32 and 1,661.64 is: 2,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.66 : 3,418.32 = 1,661.64 : x
  2. Step 2: Convert to fraction form
    2,277.66/3,418.32 = 1,661.64/x
  3. Step 3: Cross multiply
    2,277.66x = 3,418.32 × 1,661.64
  4. Step 4: Simplify right side
    2,277.66x = 5,680,017.24
  5. Step 5: Solve for x
    x = 5,680,017.24/2,277.66
  6. Step 6: Final answer
    x = 2,493.80

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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.