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Finding the Fourth Proportional to 5,089.80, 7,628.22 and 3,929.88

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Solution

The fourth proportional to 5,089.80, 7,628.22 and 3,929.88 is: 5,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.80 : 7,628.22 = 3,929.88 : x
  2. Step 2: Convert to fraction form
    5,089.80/7,628.22 = 3,929.88/x
  3. Step 3: Cross multiply
    5,089.80x = 7,628.22 × 3,929.88
  4. Step 4: Simplify right side
    5,089.80x = 29,977,989.21
  5. Step 5: Solve for x
    x = 29,977,989.21/5,089.80
  6. Step 6: Final answer
    x = 5,889.82

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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.