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Finding the Fourth Proportional to 5,147.69, 7,721.81 and 1,449.63

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Solution

The fourth proportional to 5,147.69, 7,721.81 and 1,449.63 is: 2,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.69 : 7,721.81 = 1,449.63 : x
  2. Step 2: Convert to fraction form
    5,147.69/7,721.81 = 1,449.63/x
  3. Step 3: Cross multiply
    5,147.69x = 7,721.81 × 1,449.63
  4. Step 4: Simplify right side
    5,147.69x = 11,193,773.77
  5. Step 5: Solve for x
    x = 11,193,773.77/5,147.69
  6. Step 6: Final answer
    x = 2,174.53

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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.