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Finding the Fourth Proportional to 2,146.55, 3,219.80 and 665.73

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Solution

The fourth proportional to 2,146.55, 3,219.80 and 665.73 is: 998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.55 : 3,219.80 = 665.73 : x
  2. Step 2: Convert to fraction form
    2,146.55/3,219.80 = 665.73/x
  3. Step 3: Cross multiply
    2,146.55x = 3,219.80 × 665.73
  4. Step 4: Simplify right side
    2,146.55x = 2,143,514.13
  5. Step 5: Solve for x
    x = 2,143,514.13/2,146.55
  6. Step 6: Final answer
    x = 998.59

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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.