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Finding the Fourth Proportional to 7,061.76, 9,745.08 and 3,917.88

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Solution

The fourth proportional to 7,061.76, 9,745.08 and 3,917.88 is: 5,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.76 : 9,745.08 = 3,917.88 : x
  2. Step 2: Convert to fraction form
    7,061.76/9,745.08 = 3,917.88/x
  3. Step 3: Cross multiply
    7,061.76x = 9,745.08 × 3,917.88
  4. Step 4: Simplify right side
    7,061.76x = 38,180,054.03
  5. Step 5: Solve for x
    x = 38,180,054.03/7,061.76
  6. Step 6: Final answer
    x = 5,406.59

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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.