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Finding the Fourth Proportional to 5,815.26, 7,972.74 and 5,709.96

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Solution

The fourth proportional to 5,815.26, 7,972.74 and 5,709.96 is: 7,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.26 : 7,972.74 = 5,709.96 : x
  2. Step 2: Convert to fraction form
    5,815.26/7,972.74 = 5,709.96/x
  3. Step 3: Cross multiply
    5,815.26x = 7,972.74 × 5,709.96
  4. Step 4: Simplify right side
    5,815.26x = 45,524,026.49
  5. Step 5: Solve for x
    x = 45,524,026.49/5,815.26
  6. Step 6: Final answer
    x = 7,828.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.