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Finding the Fourth Proportional to 7,061.74, 9,745.21 and 3,917.93

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Solution

The fourth proportional to 7,061.74, 9,745.21 and 3,917.93 is: 5,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.74 : 9,745.21 = 3,917.93 : x
  2. Step 2: Convert to fraction form
    7,061.74/9,745.21 = 3,917.93/x
  3. Step 3: Cross multiply
    7,061.74x = 9,745.21 × 3,917.93
  4. Step 4: Simplify right side
    7,061.74x = 38,181,050.62
  5. Step 5: Solve for x
    x = 38,181,050.62/7,061.74
  6. Step 6: Final answer
    x = 5,406.75

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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.