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Finding the Fourth Proportional to 2,105.10, 3,157.65 and 644.70

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Solution

The fourth proportional to 2,105.10, 3,157.65 and 644.70 is: 967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.10 : 3,157.65 = 644.70 : x
  2. Step 2: Convert to fraction form
    2,105.10/3,157.65 = 644.70/x
  3. Step 3: Cross multiply
    2,105.10x = 3,157.65 × 644.70
  4. Step 4: Simplify right side
    2,105.10x = 2,035,736.96
  5. Step 5: Solve for x
    x = 2,035,736.96/2,105.10
  6. Step 6: Final answer
    x = 967.05

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Similar ratio
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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.