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Finding the Fourth Proportional to 8,855.39, 13,284 and 3,926.14

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Solution

The fourth proportional to 8,855.39, 13,284 and 3,926.14 is: 5,889.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,855.39 : 13,284 = 3,926.14 : x
  2. Step 2: Convert to fraction form
    8,855.39/13,284 = 3,926.14/x
  3. Step 3: Cross multiply
    8,855.39x = 13,284 × 3,926.14
  4. Step 4: Simplify right side
    8,855.39x = 52,154,810.55
  5. Step 5: Solve for x
    x = 52,154,810.55/8,855.39
  6. Step 6: Final answer
    x = 5,889.61

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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.