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Finding the Fourth Proportional to 2,879.14, 3,971.73 and 1,830.10

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Solution

The fourth proportional to 2,879.14, 3,971.73 and 1,830.10 is: 2,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.14 : 3,971.73 = 1,830.10 : x
  2. Step 2: Convert to fraction form
    2,879.14/3,971.73 = 1,830.10/x
  3. Step 3: Cross multiply
    2,879.14x = 3,971.73 × 1,830.10
  4. Step 4: Simplify right side
    2,879.14x = 7,268,663.07
  5. Step 5: Solve for x
    x = 7,268,663.07/2,879.14
  6. Step 6: Final answer
    x = 2,524.60

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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.