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Finding the Fourth Proportional to 13,806.69, 20,678.88 and 6,395.58

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Solution

The fourth proportional to 13,806.69, 20,678.88 and 6,395.58 is: 9,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.69 : 20,678.88 = 6,395.58 : x
  2. Step 2: Convert to fraction form
    13,806.69/20,678.88 = 6,395.58/x
  3. Step 3: Cross multiply
    13,806.69x = 20,678.88 × 6,395.58
  4. Step 4: Simplify right side
    13,806.69x = 132,253,431.35
  5. Step 5: Solve for x
    x = 132,253,431.35/13,806.69
  6. Step 6: Final answer
    x = 9,578.94

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1.5x scale

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.