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Finding the Fourth Proportional to 2,133.70, 3,184.21 and 1,644.10

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Solution

The fourth proportional to 2,133.70, 3,184.21 and 1,644.10 is: 2,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.70 : 3,184.21 = 1,644.10 : x
  2. Step 2: Convert to fraction form
    2,133.70/3,184.21 = 1,644.10/x
  3. Step 3: Cross multiply
    2,133.70x = 3,184.21 × 1,644.10
  4. Step 4: Simplify right side
    2,133.70x = 5,235,151.44
  5. Step 5: Solve for x
    x = 5,235,151.44/2,133.70
  6. Step 6: Final answer
    x = 2,453.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.