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Finding the Fourth Proportional to 2,882.80, 3,978.32 and 1,703.87

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Solution

The fourth proportional to 2,882.80, 3,978.32 and 1,703.87 is: 2,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.80 : 3,978.32 = 1,703.87 : x
  2. Step 2: Convert to fraction form
    2,882.80/3,978.32 = 1,703.87/x
  3. Step 3: Cross multiply
    2,882.80x = 3,978.32 × 1,703.87
  4. Step 4: Simplify right side
    2,882.80x = 6,778,540.10
  5. Step 5: Solve for x
    x = 6,778,540.10/2,882.80
  6. Step 6: Final answer
    x = 2,351.37

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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.