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Finding the Fourth Proportional to 5,147.37, 7,721.36 and 1,449.91

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Solution

The fourth proportional to 5,147.37, 7,721.36 and 1,449.91 is: 2,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.37 : 7,721.36 = 1,449.91 : x
  2. Step 2: Convert to fraction form
    5,147.37/7,721.36 = 1,449.91/x
  3. Step 3: Cross multiply
    5,147.37x = 7,721.36 × 1,449.91
  4. Step 4: Simplify right side
    5,147.37x = 11,195,301.89
  5. Step 5: Solve for x
    x = 11,195,301.89/5,147.37
  6. Step 6: Final answer
    x = 2,174.96

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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.