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Finding the Fourth Proportional to 7,882.52, 11,823.37 and 3,986.82

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Solution

The fourth proportional to 7,882.52, 11,823.37 and 3,986.82 is: 5,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.52 : 11,823.37 = 3,986.82 : x
  2. Step 2: Convert to fraction form
    7,882.52/11,823.37 = 3,986.82/x
  3. Step 3: Cross multiply
    7,882.52x = 11,823.37 × 3,986.82
  4. Step 4: Simplify right side
    7,882.52x = 47,137,638.02
  5. Step 5: Solve for x
    x = 47,137,638.02/7,882.52
  6. Step 6: Final answer
    x = 5,980.03

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Why These Related Problems?

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