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Finding the Fourth Proportional to 7,679.34, 11,489.85 and 4,750.38

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Solution

The fourth proportional to 7,679.34, 11,489.85 and 4,750.38 is: 7,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.34 : 11,489.85 = 4,750.38 : x
  2. Step 2: Convert to fraction form
    7,679.34/11,489.85 = 4,750.38/x
  3. Step 3: Cross multiply
    7,679.34x = 11,489.85 × 4,750.38
  4. Step 4: Simplify right side
    7,679.34x = 54,581,153.64
  5. Step 5: Solve for x
    x = 54,581,153.64/7,679.34
  6. Step 6: Final answer
    x = 7,107.53

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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.