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Finding the Fourth Proportional to 1,620.28, 2,236 and 912.10

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Solution

The fourth proportional to 1,620.28, 2,236 and 912.10 is: 1,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.28 : 2,236 = 912.10 : x
  2. Step 2: Convert to fraction form
    1,620.28/2,236 = 912.10/x
  3. Step 3: Cross multiply
    1,620.28x = 2,236 × 912.10
  4. Step 4: Simplify right side
    1,620.28x = 2,039,455.60
  5. Step 5: Solve for x
    x = 2,039,455.60/1,620.28
  6. Step 6: Final answer
    x = 1,258.71

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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.