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Finding the Fourth Proportional to 1,992.32, 2,748.89 and 1,206.21

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Solution

The fourth proportional to 1,992.32, 2,748.89 and 1,206.21 is: 1,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.32 : 2,748.89 = 1,206.21 : x
  2. Step 2: Convert to fraction form
    1,992.32/2,748.89 = 1,206.21/x
  3. Step 3: Cross multiply
    1,992.32x = 2,748.89 × 1,206.21
  4. Step 4: Simplify right side
    1,992.32x = 3,315,741.62
  5. Step 5: Solve for x
    x = 3,315,741.62/1,992.32
  6. Step 6: Final answer
    x = 1,664.27

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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.