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Finding the Fourth Proportional to 2,105.65, 3,157.67 and 699.81

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Solution

The fourth proportional to 2,105.65, 3,157.67 and 699.81 is: 1,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.65 : 3,157.67 = 699.81 : x
  2. Step 2: Convert to fraction form
    2,105.65/3,157.67 = 699.81/x
  3. Step 3: Cross multiply
    2,105.65x = 3,157.67 × 699.81
  4. Step 4: Simplify right side
    2,105.65x = 2,209,769.04
  5. Step 5: Solve for x
    x = 2,209,769.04/2,105.65
  6. Step 6: Final answer
    x = 1,049.45

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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.