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Finding the Fourth Proportional to 5,972.71, 8,245.34 and 3,986.47

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Solution

The fourth proportional to 5,972.71, 8,245.34 and 3,986.47 is: 5,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.71 : 8,245.34 = 3,986.47 : x
  2. Step 2: Convert to fraction form
    5,972.71/8,245.34 = 3,986.47/x
  3. Step 3: Cross multiply
    5,972.71x = 8,245.34 × 3,986.47
  4. Step 4: Simplify right side
    5,972.71x = 32,869,800.55
  5. Step 5: Solve for x
    x = 32,869,800.55/5,972.71
  6. Step 6: Final answer
    x = 5,503.33

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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.