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Finding the Fourth Proportional to 7,061.75, 9,745.23 and 3,917.94

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Solution

The fourth proportional to 7,061.75, 9,745.23 and 3,917.94 is: 5,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.75 : 9,745.23 = 3,917.94 : x
  2. Step 2: Convert to fraction form
    7,061.75/9,745.23 = 3,917.94/x
  3. Step 3: Cross multiply
    7,061.75x = 9,745.23 × 3,917.94
  4. Step 4: Simplify right side
    7,061.75x = 38,181,226.43
  5. Step 5: Solve for x
    x = 38,181,226.43/7,061.75
  6. Step 6: Final answer
    x = 5,406.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.