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Finding the Fourth Proportional to 2,230.91, 3,078.70 and 1,446.32

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Solution

The fourth proportional to 2,230.91, 3,078.70 and 1,446.32 is: 1,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.91 : 3,078.70 = 1,446.32 : x
  2. Step 2: Convert to fraction form
    2,230.91/3,078.70 = 1,446.32/x
  3. Step 3: Cross multiply
    2,230.91x = 3,078.70 × 1,446.32
  4. Step 4: Simplify right side
    2,230.91x = 4,452,785.38
  5. Step 5: Solve for x
    x = 4,452,785.38/2,230.91
  6. Step 6: Final answer
    x = 1,995.95

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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.