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Finding the Fourth Proportional to 30,674.57, 46,012.88 and 8,486.09

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Solution

The fourth proportional to 30,674.57, 46,012.88 and 8,486.09 is: 12,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.57 : 46,012.88 = 8,486.09 : x
  2. Step 2: Convert to fraction form
    30,674.57/46,012.88 = 8,486.09/x
  3. Step 3: Cross multiply
    30,674.57x = 46,012.88 × 8,486.09
  4. Step 4: Simplify right side
    30,674.57x = 390,469,545.88
  5. Step 5: Solve for x
    x = 390,469,545.88/30,674.57
  6. Step 6: Final answer
    x = 12,729.42

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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.