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Finding the Fourth Proportional to 8,538, 11,775.96 and 5,889.84

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Solution

The fourth proportional to 8,538, 11,775.96 and 5,889.84 is: 8,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 11,775.96 = 5,889.84 : x
  2. Step 2: Convert to fraction form
    8,538/11,775.96 = 5,889.84/x
  3. Step 3: Cross multiply
    8,538x = 11,775.96 × 5,889.84
  4. Step 4: Simplify right side
    8,538x = 69,358,520.25
  5. Step 5: Solve for x
    x = 69,358,520.25/8,538
  6. Step 6: Final answer
    x = 8,123.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.