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Finding the Fourth Proportional to 2,143.21, 3,214.80 and 604.21

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Solution

The fourth proportional to 2,143.21, 3,214.80 and 604.21 is: 906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.21 : 3,214.80 = 604.21 : x
  2. Step 2: Convert to fraction form
    2,143.21/3,214.80 = 604.21/x
  3. Step 3: Cross multiply
    2,143.21x = 3,214.80 × 604.21
  4. Step 4: Simplify right side
    2,143.21x = 1,942,414.31
  5. Step 5: Solve for x
    x = 1,942,414.31/2,143.21
  6. Step 6: Final answer
    x = 906.31

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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.