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Finding the Fourth Proportional to 2,882.93, 3,978.39 and 1,623.98

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Solution

The fourth proportional to 2,882.93, 3,978.39 and 1,623.98 is: 2,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.93 : 3,978.39 = 1,623.98 : x
  2. Step 2: Convert to fraction form
    2,882.93/3,978.39 = 1,623.98/x
  3. Step 3: Cross multiply
    2,882.93x = 3,978.39 × 1,623.98
  4. Step 4: Simplify right side
    2,882.93x = 6,460,825.79
  5. Step 5: Solve for x
    x = 6,460,825.79/2,882.93
  6. Step 6: Final answer
    x = 2,241.06

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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.