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Finding the Fourth Proportional to 2,105.23, 3,157.53 and 643.99

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Solution

The fourth proportional to 2,105.23, 3,157.53 and 643.99 is: 965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.23 : 3,157.53 = 643.99 : x
  2. Step 2: Convert to fraction form
    2,105.23/3,157.53 = 643.99/x
  3. Step 3: Cross multiply
    2,105.23x = 3,157.53 × 643.99
  4. Step 4: Simplify right side
    2,105.23x = 2,033,401.96
  5. Step 5: Solve for x
    x = 2,033,401.96/2,105.23
  6. Step 6: Final answer
    x = 965.88

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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.