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Finding the Fourth Proportional to 2,146.03, 3,223 and 1,285.63

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Solution

The fourth proportional to 2,146.03, 3,223 and 1,285.63 is: 1,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.03 : 3,223 = 1,285.63 : x
  2. Step 2: Convert to fraction form
    2,146.03/3,223 = 1,285.63/x
  3. Step 3: Cross multiply
    2,146.03x = 3,223 × 1,285.63
  4. Step 4: Simplify right side
    2,146.03x = 4,143,585.49
  5. Step 5: Solve for x
    x = 4,143,585.49/2,146.03
  6. Step 6: Final answer
    x = 1,930.81

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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.