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Finding the Fourth Proportional to 12,579.70, 18,855.78 and 6,329.74

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Solution

The fourth proportional to 12,579.70, 18,855.78 and 6,329.74 is: 9,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.70 : 18,855.78 = 6,329.74 : x
  2. Step 2: Convert to fraction form
    12,579.70/18,855.78 = 6,329.74/x
  3. Step 3: Cross multiply
    12,579.70x = 18,855.78 × 6,329.74
  4. Step 4: Simplify right side
    12,579.70x = 119,352,184.90
  5. Step 5: Solve for x
    x = 119,352,184.90/12,579.70
  6. Step 6: Final answer
    x = 9,487.68

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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.