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Finding the Fourth Proportional to 1,992.68, 2,748.02 and 1,519.75

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Solution

The fourth proportional to 1,992.68, 2,748.02 and 1,519.75 is: 2,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.68 : 2,748.02 = 1,519.75 : x
  2. Step 2: Convert to fraction form
    1,992.68/2,748.02 = 1,519.75/x
  3. Step 3: Cross multiply
    1,992.68x = 2,748.02 × 1,519.75
  4. Step 4: Simplify right side
    1,992.68x = 4,176,282.06
  5. Step 5: Solve for x
    x = 4,176,282.06/1,992.68
  6. Step 6: Final answer
    x = 2,095.81

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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.