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Finding the Fourth Proportional to 2,812.52, 3,879.14 and 1,879.40

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Solution

The fourth proportional to 2,812.52, 3,879.14 and 1,879.40 is: 2,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.52 : 3,879.14 = 1,879.40 : x
  2. Step 2: Convert to fraction form
    2,812.52/3,879.14 = 1,879.40/x
  3. Step 3: Cross multiply
    2,812.52x = 3,879.14 × 1,879.40
  4. Step 4: Simplify right side
    2,812.52x = 7,290,455.72
  5. Step 5: Solve for x
    x = 7,290,455.72/2,812.52
  6. Step 6: Final answer
    x = 2,592.14

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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.