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Finding the Fourth Proportional to 2,749.38, 3,794.16 and 1,570.42

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Solution

The fourth proportional to 2,749.38, 3,794.16 and 1,570.42 is: 2,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.38 : 3,794.16 = 1,570.42 : x
  2. Step 2: Convert to fraction form
    2,749.38/3,794.16 = 1,570.42/x
  3. Step 3: Cross multiply
    2,749.38x = 3,794.16 × 1,570.42
  4. Step 4: Simplify right side
    2,749.38x = 5,958,424.75
  5. Step 5: Solve for x
    x = 5,958,424.75/2,749.38
  6. Step 6: Final answer
    x = 2,167.19

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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.