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Finding the Fourth Proportional to 5,812.36, 8,021.03 and 3,159.77

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Solution

The fourth proportional to 5,812.36, 8,021.03 and 3,159.77 is: 4,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.36 : 8,021.03 = 3,159.77 : x
  2. Step 2: Convert to fraction form
    5,812.36/8,021.03 = 3,159.77/x
  3. Step 3: Cross multiply
    5,812.36x = 8,021.03 × 3,159.77
  4. Step 4: Simplify right side
    5,812.36x = 25,344,609.96
  5. Step 5: Solve for x
    x = 25,344,609.96/5,812.36
  6. Step 6: Final answer
    x = 4,360.47

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