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Finding the Fourth Proportional to 8,678, 13,019.16 and 2,522

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Solution

The fourth proportional to 8,678, 13,019.16 and 2,522 is: 3,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678 : 13,019.16 = 2,522 : x
  2. Step 2: Convert to fraction form
    8,678/13,019.16 = 2,522/x
  3. Step 3: Cross multiply
    8,678x = 13,019.16 × 2,522
  4. Step 4: Simplify right side
    8,678x = 32,834,321.52
  5. Step 5: Solve for x
    x = 32,834,321.52/8,678
  6. Step 6: Final answer
    x = 3,783.63

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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.