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Finding the Fourth Proportional to 2,649.06, 3,971.01 and 1,262.03

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Solution

The fourth proportional to 2,649.06, 3,971.01 and 1,262.03 is: 1,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.06 : 3,971.01 = 1,262.03 : x
  2. Step 2: Convert to fraction form
    2,649.06/3,971.01 = 1,262.03/x
  3. Step 3: Cross multiply
    2,649.06x = 3,971.01 × 1,262.03
  4. Step 4: Simplify right side
    2,649.06x = 5,011,513.90
  5. Step 5: Solve for x
    x = 5,011,513.90/2,649.06
  6. Step 6: Final answer
    x = 1,891.81

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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.