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Finding the Fourth Proportional to 5,923.64, 8,878.98 and 3,986.12

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Solution

The fourth proportional to 5,923.64, 8,878.98 and 3,986.12 is: 5,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.64 : 8,878.98 = 3,986.12 : x
  2. Step 2: Convert to fraction form
    5,923.64/8,878.98 = 3,986.12/x
  3. Step 3: Cross multiply
    5,923.64x = 8,878.98 × 3,986.12
  4. Step 4: Simplify right side
    5,923.64x = 35,392,679.76
  5. Step 5: Solve for x
    x = 35,392,679.76/5,923.64
  6. Step 6: Final answer
    x = 5,974.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.