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Finding the Fourth Proportional to 5,147, 7,721.60 and 2,069

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Solution

The fourth proportional to 5,147, 7,721.60 and 2,069 is: 3,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147 : 7,721.60 = 2,069 : x
  2. Step 2: Convert to fraction form
    5,147/7,721.60 = 2,069/x
  3. Step 3: Cross multiply
    5,147x = 7,721.60 × 2,069
  4. Step 4: Simplify right side
    5,147x = 15,975,990.40
  5. Step 5: Solve for x
    x = 15,975,990.40/5,147
  6. Step 6: Final answer
    x = 3,103.94

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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.