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Finding the Fourth Proportional to 3,670.98, 5,066 and 1,992.40

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Solution

The fourth proportional to 3,670.98, 5,066 and 1,992.40 is: 2,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.98 : 5,066 = 1,992.40 : x
  2. Step 2: Convert to fraction form
    3,670.98/5,066 = 1,992.40/x
  3. Step 3: Cross multiply
    3,670.98x = 5,066 × 1,992.40
  4. Step 4: Simplify right side
    3,670.98x = 10,093,498.40
  5. Step 5: Solve for x
    x = 10,093,498.40/3,670.98
  6. Step 6: Final answer
    x = 2,749.54

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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.