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Finding the Fourth Proportional to 8,307.68, 12,453.41 and 3,109.91

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Solution

The fourth proportional to 8,307.68, 12,453.41 and 3,109.91 is: 4,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.68 : 12,453.41 = 3,109.91 : x
  2. Step 2: Convert to fraction form
    8,307.68/12,453.41 = 3,109.91/x
  3. Step 3: Cross multiply
    8,307.68x = 12,453.41 × 3,109.91
  4. Step 4: Simplify right side
    8,307.68x = 38,728,929.80
  5. Step 5: Solve for x
    x = 38,728,929.80/8,307.68
  6. Step 6: Final answer
    x = 4,661.83

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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.