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Finding the Fourth Proportional to 2,884.30, 3,978.21 and 2,138.29

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Solution

The fourth proportional to 2,884.30, 3,978.21 and 2,138.29 is: 2,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.30 : 3,978.21 = 2,138.29 : x
  2. Step 2: Convert to fraction form
    2,884.30/3,978.21 = 2,138.29/x
  3. Step 3: Cross multiply
    2,884.30x = 3,978.21 × 2,138.29
  4. Step 4: Simplify right side
    2,884.30x = 8,506,566.66
  5. Step 5: Solve for x
    x = 8,506,566.66/2,884.30
  6. Step 6: Final answer
    x = 2,949.27

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1.5x scale

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.