Home / 2,104.81-3,157.22-949.21

Finding the Fourth Proportional to 2,104.81, 3,157.22 and 949.21

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Solution

The fourth proportional to 2,104.81, 3,157.22 and 949.21 is: 1,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.81 : 3,157.22 = 949.21 : x
  2. Step 2: Convert to fraction form
    2,104.81/3,157.22 = 949.21/x
  3. Step 3: Cross multiply
    2,104.81x = 3,157.22 × 949.21
  4. Step 4: Simplify right side
    2,104.81x = 2,996,864.80
  5. Step 5: Solve for x
    x = 2,996,864.80/2,104.81
  6. Step 6: Final answer
    x = 1,423.82

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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.