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Finding the Fourth Proportional to 2,005, 2,768.16 and 1,376.56

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Solution

The fourth proportional to 2,005, 2,768.16 and 1,376.56 is: 1,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 2,768.16 = 1,376.56 : x
  2. Step 2: Convert to fraction form
    2,005/2,768.16 = 1,376.56/x
  3. Step 3: Cross multiply
    2,005x = 2,768.16 × 1,376.56
  4. Step 4: Simplify right side
    2,005x = 3,810,538.33
  5. Step 5: Solve for x
    x = 3,810,538.33/2,005
  6. Step 6: Final answer
    x = 1,900.52

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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.