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Finding the Fourth Proportional to 3,905.69, 5,857.04 and 1,406.16

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Solution

The fourth proportional to 3,905.69, 5,857.04 and 1,406.16 is: 2,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.69 : 5,857.04 = 1,406.16 : x
  2. Step 2: Convert to fraction form
    3,905.69/5,857.04 = 1,406.16/x
  3. Step 3: Cross multiply
    3,905.69x = 5,857.04 × 1,406.16
  4. Step 4: Simplify right side
    3,905.69x = 8,235,938.88
  5. Step 5: Solve for x
    x = 8,235,938.88/3,905.69
  6. Step 6: Final answer
    x = 2,108.71

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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.