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Finding the Fourth Proportional to 2,559.67, 3,839.11 and 804.27

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Solution

The fourth proportional to 2,559.67, 3,839.11 and 804.27 is: 1,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.67 : 3,839.11 = 804.27 : x
  2. Step 2: Convert to fraction form
    2,559.67/3,839.11 = 804.27/x
  3. Step 3: Cross multiply
    2,559.67x = 3,839.11 × 804.27
  4. Step 4: Simplify right side
    2,559.67x = 3,087,681.00
  5. Step 5: Solve for x
    x = 3,087,681.00/2,559.67
  6. Step 6: Final answer
    x = 1,206.28

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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.