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Finding the Fourth Proportional to 2,450.84, 3,676.38 and 989.81

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Solution

The fourth proportional to 2,450.84, 3,676.38 and 989.81 is: 1,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.84 : 3,676.38 = 989.81 : x
  2. Step 2: Convert to fraction form
    2,450.84/3,676.38 = 989.81/x
  3. Step 3: Cross multiply
    2,450.84x = 3,676.38 × 989.81
  4. Step 4: Simplify right side
    2,450.84x = 3,638,917.69
  5. Step 5: Solve for x
    x = 3,638,917.69/2,450.84
  6. Step 6: Final answer
    x = 1,484.76

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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.