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Finding the Fourth Proportional to 2,182.28, 3,274.74 and 883.64

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Solution

The fourth proportional to 2,182.28, 3,274.74 and 883.64 is: 1,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.28 : 3,274.74 = 883.64 : x
  2. Step 2: Convert to fraction form
    2,182.28/3,274.74 = 883.64/x
  3. Step 3: Cross multiply
    2,182.28x = 3,274.74 × 883.64
  4. Step 4: Simplify right side
    2,182.28x = 2,893,691.25
  5. Step 5: Solve for x
    x = 2,893,691.25/2,182.28
  6. Step 6: Final answer
    x = 1,325.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.