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Finding the Fourth Proportional to 2,749.50, 3,794.16 and 1,570.92

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Solution

The fourth proportional to 2,749.50, 3,794.16 and 1,570.92 is: 2,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.50 : 3,794.16 = 1,570.92 : x
  2. Step 2: Convert to fraction form
    2,749.50/3,794.16 = 1,570.92/x
  3. Step 3: Cross multiply
    2,749.50x = 3,794.16 × 1,570.92
  4. Step 4: Simplify right side
    2,749.50x = 5,960,321.83
  5. Step 5: Solve for x
    x = 5,960,321.83/2,749.50
  6. Step 6: Final answer
    x = 2,167.78

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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.