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Finding the Fourth Proportional to 12,412.02, 18,619.20 and 4,092.12

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Solution

The fourth proportional to 12,412.02, 18,619.20 and 4,092.12 is: 6,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.02 : 18,619.20 = 4,092.12 : x
  2. Step 2: Convert to fraction form
    12,412.02/18,619.20 = 4,092.12/x
  3. Step 3: Cross multiply
    12,412.02x = 18,619.20 × 4,092.12
  4. Step 4: Simplify right side
    12,412.02x = 76,192,000.70
  5. Step 5: Solve for x
    x = 76,192,000.70/12,412.02
  6. Step 6: Final answer
    x = 6,138.57

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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.