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Finding the Fourth Proportional to 2,143.05, 3,214.53 and 662.23

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Solution

The fourth proportional to 2,143.05, 3,214.53 and 662.23 is: 993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.05 : 3,214.53 = 662.23 : x
  2. Step 2: Convert to fraction form
    2,143.05/3,214.53 = 662.23/x
  3. Step 3: Cross multiply
    2,143.05x = 3,214.53 × 662.23
  4. Step 4: Simplify right side
    2,143.05x = 2,128,758.20
  5. Step 5: Solve for x
    x = 2,128,758.20/2,143.05
  6. Step 6: Final answer
    x = 993.33

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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.