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Finding the Fourth Proportional to 8,493.89, 11,721.63 and 5,138.93

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Solution

The fourth proportional to 8,493.89, 11,721.63 and 5,138.93 is: 7,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.89 : 11,721.63 = 5,138.93 : x
  2. Step 2: Convert to fraction form
    8,493.89/11,721.63 = 5,138.93/x
  3. Step 3: Cross multiply
    8,493.89x = 11,721.63 × 5,138.93
  4. Step 4: Simplify right side
    8,493.89x = 60,236,577.45
  5. Step 5: Solve for x
    x = 60,236,577.45/8,493.89
  6. Step 6: Final answer
    x = 7,091.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.