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Finding the Fourth Proportional to 7,415.62, 11,119.21 and 3,901.91

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Solution

The fourth proportional to 7,415.62, 11,119.21 and 3,901.91 is: 5,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.62 : 11,119.21 = 3,901.91 : x
  2. Step 2: Convert to fraction form
    7,415.62/11,119.21 = 3,901.91/x
  3. Step 3: Cross multiply
    7,415.62x = 11,119.21 × 3,901.91
  4. Step 4: Simplify right side
    7,415.62x = 43,386,091.34
  5. Step 5: Solve for x
    x = 43,386,091.34/7,415.62
  6. Step 6: Final answer
    x = 5,850.64

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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.