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Finding the Fourth Proportional to 5,812.96, 8,018.64 and 3,713.44

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Solution

The fourth proportional to 5,812.96, 8,018.64 and 3,713.44 is: 5,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.96 : 8,018.64 = 3,713.44 : x
  2. Step 2: Convert to fraction form
    5,812.96/8,018.64 = 3,713.44/x
  3. Step 3: Cross multiply
    5,812.96x = 8,018.64 × 3,713.44
  4. Step 4: Simplify right side
    5,812.96x = 29,776,738.52
  5. Step 5: Solve for x
    x = 29,776,738.52/5,812.96
  6. Step 6: Final answer
    x = 5,122.47

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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.