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Finding the Fourth Proportional to 2,811.78, 3,879.63 and 1,816.92

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Solution

The fourth proportional to 2,811.78, 3,879.63 and 1,816.92 is: 2,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.78 : 3,879.63 = 1,816.92 : x
  2. Step 2: Convert to fraction form
    2,811.78/3,879.63 = 1,816.92/x
  3. Step 3: Cross multiply
    2,811.78x = 3,879.63 × 1,816.92
  4. Step 4: Simplify right side
    2,811.78x = 7,048,977.34
  5. Step 5: Solve for x
    x = 7,048,977.34/2,811.78
  6. Step 6: Final answer
    x = 2,506.94

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1.5x scale

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.