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Finding the Fourth Proportional to 5,672.89, 8,511.76 and 5,189.32

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Solution

The fourth proportional to 5,672.89, 8,511.76 and 5,189.32 is: 7,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.89 : 8,511.76 = 5,189.32 : x
  2. Step 2: Convert to fraction form
    5,672.89/8,511.76 = 5,189.32/x
  3. Step 3: Cross multiply
    5,672.89x = 8,511.76 × 5,189.32
  4. Step 4: Simplify right side
    5,672.89x = 44,170,201.06
  5. Step 5: Solve for x
    x = 44,170,201.06/5,672.89
  6. Step 6: Final answer
    x = 7,786.20

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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.