Home / 2,005-2,766.90-1,218.90

Finding the Fourth Proportional to 2,005, 2,766.90 and 1,218.90

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Solution

The fourth proportional to 2,005, 2,766.90 and 1,218.90 is: 1,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 2,766.90 = 1,218.90 : x
  2. Step 2: Convert to fraction form
    2,005/2,766.90 = 1,218.90/x
  3. Step 3: Cross multiply
    2,005x = 2,766.90 × 1,218.90
  4. Step 4: Simplify right side
    2,005x = 3,372,574.41
  5. Step 5: Solve for x
    x = 3,372,574.41/2,005
  6. Step 6: Final answer
    x = 1,682.08

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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.