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Finding the Fourth Proportional to 2,884.16, 3,978.48 and 1,821.54

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Solution

The fourth proportional to 2,884.16, 3,978.48 and 1,821.54 is: 2,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.16 : 3,978.48 = 1,821.54 : x
  2. Step 2: Convert to fraction form
    2,884.16/3,978.48 = 1,821.54/x
  3. Step 3: Cross multiply
    2,884.16x = 3,978.48 × 1,821.54
  4. Step 4: Simplify right side
    2,884.16x = 7,246,960.46
  5. Step 5: Solve for x
    x = 7,246,960.46/2,884.16
  6. Step 6: Final answer
    x = 2,512.68

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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.