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Finding the Fourth Proportional to 2,105.57, 3,158.36 and 644.54

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Solution

The fourth proportional to 2,105.57, 3,158.36 and 644.54 is: 966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.57 : 3,158.36 = 644.54 : x
  2. Step 2: Convert to fraction form
    2,105.57/3,158.36 = 644.54/x
  3. Step 3: Cross multiply
    2,105.57x = 3,158.36 × 644.54
  4. Step 4: Simplify right side
    2,105.57x = 2,035,672.76
  5. Step 5: Solve for x
    x = 2,035,672.76/2,105.57
  6. Step 6: Final answer
    x = 966.80

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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.