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Finding the Fourth Proportional to 2,126.01, 3,189.69 and 739.29

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Solution

The fourth proportional to 2,126.01, 3,189.69 and 739.29 is: 1,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.01 : 3,189.69 = 739.29 : x
  2. Step 2: Convert to fraction form
    2,126.01/3,189.69 = 739.29/x
  3. Step 3: Cross multiply
    2,126.01x = 3,189.69 × 739.29
  4. Step 4: Simplify right side
    2,126.01x = 2,358,105.92
  5. Step 5: Solve for x
    x = 2,358,105.92/2,126.01
  6. Step 6: Final answer
    x = 1,109.17

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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.