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Finding the Fourth Proportional to 3,899.72, 5,849.04 and 1,267.22

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Solution

The fourth proportional to 3,899.72, 5,849.04 and 1,267.22 is: 1,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.72 : 5,849.04 = 1,267.22 : x
  2. Step 2: Convert to fraction form
    3,899.72/5,849.04 = 1,267.22/x
  3. Step 3: Cross multiply
    3,899.72x = 5,849.04 × 1,267.22
  4. Step 4: Simplify right side
    3,899.72x = 7,412,020.47
  5. Step 5: Solve for x
    x = 7,412,020.47/3,899.72
  6. Step 6: Final answer
    x = 1,900.65

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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.