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Finding the Fourth Proportional to 5,812.13, 8,020.14 and 3,453.82

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Solution

The fourth proportional to 5,812.13, 8,020.14 and 3,453.82 is: 4,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.13 : 8,020.14 = 3,453.82 : x
  2. Step 2: Convert to fraction form
    5,812.13/8,020.14 = 3,453.82/x
  3. Step 3: Cross multiply
    5,812.13x = 8,020.14 × 3,453.82
  4. Step 4: Simplify right side
    5,812.13x = 27,700,079.83
  5. Step 5: Solve for x
    x = 27,700,079.83/5,812.13
  6. Step 6: Final answer
    x = 4,765.91

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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.