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Finding the Fourth Proportional to 2,876.13, 3,969.71 and 1,879.77

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Solution

The fourth proportional to 2,876.13, 3,969.71 and 1,879.77 is: 2,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.13 : 3,969.71 = 1,879.77 : x
  2. Step 2: Convert to fraction form
    2,876.13/3,969.71 = 1,879.77/x
  3. Step 3: Cross multiply
    2,876.13x = 3,969.71 × 1,879.77
  4. Step 4: Simplify right side
    2,876.13x = 7,462,132.37
  5. Step 5: Solve for x
    x = 7,462,132.37/2,876.13
  6. Step 6: Final answer
    x = 2,594.50

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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.