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Finding the Fourth Proportional to 2,146.52, 3,219.96 and 685.64

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Solution

The fourth proportional to 2,146.52, 3,219.96 and 685.64 is: 1,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.52 : 3,219.96 = 685.64 : x
  2. Step 2: Convert to fraction form
    2,146.52/3,219.96 = 685.64/x
  3. Step 3: Cross multiply
    2,146.52x = 3,219.96 × 685.64
  4. Step 4: Simplify right side
    2,146.52x = 2,207,733.37
  5. Step 5: Solve for x
    x = 2,207,733.37/2,146.52
  6. Step 6: Final answer
    x = 1,028.52

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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.