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Finding the Fourth Proportional to 7,689, 11,533.48 and 2,758.92

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Solution

The fourth proportional to 7,689, 11,533.48 and 2,758.92 is: 4,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 11,533.48 = 2,758.92 : x
  2. Step 2: Convert to fraction form
    7,689/11,533.48 = 2,758.92/x
  3. Step 3: Cross multiply
    7,689x = 11,533.48 × 2,758.92
  4. Step 4: Simplify right side
    7,689x = 31,819,948.64
  5. Step 5: Solve for x
    x = 31,819,948.64/7,689
  6. Step 6: Final answer
    x = 4,138.37

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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.