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Finding the Fourth Proportional to 1,992.16, 2,749.48 and 1,434.48

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Solution

The fourth proportional to 1,992.16, 2,749.48 and 1,434.48 is: 1,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.16 : 2,749.48 = 1,434.48 : x
  2. Step 2: Convert to fraction form
    1,992.16/2,749.48 = 1,434.48/x
  3. Step 3: Cross multiply
    1,992.16x = 2,749.48 × 1,434.48
  4. Step 4: Simplify right side
    1,992.16x = 3,944,060.17
  5. Step 5: Solve for x
    x = 3,944,060.17/1,992.16
  6. Step 6: Final answer
    x = 1,979.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.