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Finding the Fourth Proportional to 6,986.52, 10,472.76 and 3,867.89

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Solution

The fourth proportional to 6,986.52, 10,472.76 and 3,867.89 is: 5,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.52 : 10,472.76 = 3,867.89 : x
  2. Step 2: Convert to fraction form
    6,986.52/10,472.76 = 3,867.89/x
  3. Step 3: Cross multiply
    6,986.52x = 10,472.76 × 3,867.89
  4. Step 4: Simplify right side
    6,986.52x = 40,507,431.31
  5. Step 5: Solve for x
    x = 40,507,431.31/6,986.52
  6. Step 6: Final answer
    x = 5,797.94

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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.