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Finding the Fourth Proportional to 2,823.17, 3,892.12 and 1,879.00

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Solution

The fourth proportional to 2,823.17, 3,892.12 and 1,879.00 is: 2,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.17 : 3,892.12 = 1,879.00 : x
  2. Step 2: Convert to fraction form
    2,823.17/3,892.12 = 1,879.00/x
  3. Step 3: Cross multiply
    2,823.17x = 3,892.12 × 1,879.00
  4. Step 4: Simplify right side
    2,823.17x = 7,313,279.05
  5. Step 5: Solve for x
    x = 7,313,279.05/2,823.17
  6. Step 6: Final answer
    x = 2,590.45

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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.