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Finding the Fourth Proportional to 7,805, 11,709.39 and 3,188

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Solution

The fourth proportional to 7,805, 11,709.39 and 3,188 is: 4,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805 : 11,709.39 = 3,188 : x
  2. Step 2: Convert to fraction form
    7,805/11,709.39 = 3,188/x
  3. Step 3: Cross multiply
    7,805x = 11,709.39 × 3,188
  4. Step 4: Simplify right side
    7,805x = 37,329,535.32
  5. Step 5: Solve for x
    x = 37,329,535.32/7,805
  6. Step 6: Final answer
    x = 4,782.77

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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.