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Finding the Fourth Proportional to 7,698.26, 11,554.68 and 3,805.40

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Solution

The fourth proportional to 7,698.26, 11,554.68 and 3,805.40 is: 5,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.26 : 11,554.68 = 3,805.40 : x
  2. Step 2: Convert to fraction form
    7,698.26/11,554.68 = 3,805.40/x
  3. Step 3: Cross multiply
    7,698.26x = 11,554.68 × 3,805.40
  4. Step 4: Simplify right side
    7,698.26x = 43,970,121.50
  5. Step 5: Solve for x
    x = 43,970,121.50/7,698.26
  6. Step 6: Final answer
    x = 5,711.70

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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.