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Finding the Fourth Proportional to 7,603.82, 11,405.79 and 2,057.21

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Solution

The fourth proportional to 7,603.82, 11,405.79 and 2,057.21 is: 3,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.82 : 11,405.79 = 2,057.21 : x
  2. Step 2: Convert to fraction form
    7,603.82/11,405.79 = 2,057.21/x
  3. Step 3: Cross multiply
    7,603.82x = 11,405.79 × 2,057.21
  4. Step 4: Simplify right side
    7,603.82x = 23,464,105.25
  5. Step 5: Solve for x
    x = 23,464,105.25/7,603.82
  6. Step 6: Final answer
    x = 3,085.83

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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.