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Finding the Fourth Proportional to 7,689, 11,533.50 and 2,758.94

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Solution

The fourth proportional to 7,689, 11,533.50 and 2,758.94 is: 4,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 11,533.50 = 2,758.94 : x
  2. Step 2: Convert to fraction form
    7,689/11,533.50 = 2,758.94/x
  3. Step 3: Cross multiply
    7,689x = 11,533.50 × 2,758.94
  4. Step 4: Simplify right side
    7,689x = 31,820,234.49
  5. Step 5: Solve for x
    x = 31,820,234.49/7,689
  6. Step 6: Final answer
    x = 4,138.41

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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.