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Finding the Fourth Proportional to 2,450.30, 3,676.26 and 988.70

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Solution

The fourth proportional to 2,450.30, 3,676.26 and 988.70 is: 1,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.30 : 3,676.26 = 988.70 : x
  2. Step 2: Convert to fraction form
    2,450.30/3,676.26 = 988.70/x
  3. Step 3: Cross multiply
    2,450.30x = 3,676.26 × 988.70
  4. Step 4: Simplify right side
    2,450.30x = 3,634,718.26
  5. Step 5: Solve for x
    x = 3,634,718.26/2,450.30
  6. Step 6: Final answer
    x = 1,483.38

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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.