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Finding the Fourth Proportional to 2,145.67, 3,218.90 and 664.86

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Solution

The fourth proportional to 2,145.67, 3,218.90 and 664.86 is: 997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.67 : 3,218.90 = 664.86 : x
  2. Step 2: Convert to fraction form
    2,145.67/3,218.90 = 664.86/x
  3. Step 3: Cross multiply
    2,145.67x = 3,218.90 × 664.86
  4. Step 4: Simplify right side
    2,145.67x = 2,140,117.85
  5. Step 5: Solve for x
    x = 2,140,117.85/2,145.67
  6. Step 6: Final answer
    x = 997.41

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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.