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Finding the Fourth Proportional to 2,883.03, 3,978.81 and 1,687.65

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Solution

The fourth proportional to 2,883.03, 3,978.81 and 1,687.65 is: 2,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.03 : 3,978.81 = 1,687.65 : x
  2. Step 2: Convert to fraction form
    2,883.03/3,978.81 = 1,687.65/x
  3. Step 3: Cross multiply
    2,883.03x = 3,978.81 × 1,687.65
  4. Step 4: Simplify right side
    2,883.03x = 6,714,838.70
  5. Step 5: Solve for x
    x = 6,714,838.70/2,883.03
  6. Step 6: Final answer
    x = 2,329.09

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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.