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Finding the Fourth Proportional to 2,884.28, 3,980.22 and 2,101.64

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Solution

The fourth proportional to 2,884.28, 3,980.22 and 2,101.64 is: 2,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.28 : 3,980.22 = 2,101.64 : x
  2. Step 2: Convert to fraction form
    2,884.28/3,980.22 = 2,101.64/x
  3. Step 3: Cross multiply
    2,884.28x = 3,980.22 × 2,101.64
  4. Step 4: Simplify right side
    2,884.28x = 8,364,989.56
  5. Step 5: Solve for x
    x = 8,364,989.56/2,884.28
  6. Step 6: Final answer
    x = 2,900.20

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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.