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Finding the Fourth Proportional to 2,638.98, 3,958.56 and 995.13

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Solution

The fourth proportional to 2,638.98, 3,958.56 and 995.13 is: 1,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.98 : 3,958.56 = 995.13 : x
  2. Step 2: Convert to fraction form
    2,638.98/3,958.56 = 995.13/x
  3. Step 3: Cross multiply
    2,638.98x = 3,958.56 × 995.13
  4. Step 4: Simplify right side
    2,638.98x = 3,939,281.81
  5. Step 5: Solve for x
    x = 3,939,281.81/2,638.98
  6. Step 6: Final answer
    x = 1,492.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.