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Finding the Fourth Proportional to 7,882.75, 11,818.23 and 3,720.37

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Solution

The fourth proportional to 7,882.75, 11,818.23 and 3,720.37 is: 5,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.75 : 11,818.23 = 3,720.37 : x
  2. Step 2: Convert to fraction form
    7,882.75/11,818.23 = 3,720.37/x
  3. Step 3: Cross multiply
    7,882.75x = 11,818.23 × 3,720.37
  4. Step 4: Simplify right side
    7,882.75x = 43,968,188.35
  5. Step 5: Solve for x
    x = 43,968,188.35/7,882.75
  6. Step 6: Final answer
    x = 5,577.77

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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.