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Finding the Fourth Proportional to 12,381.15, 18,566.42 and 7,694.14

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Solution

The fourth proportional to 12,381.15, 18,566.42 and 7,694.14 is: 11,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.15 : 18,566.42 = 7,694.14 : x
  2. Step 2: Convert to fraction form
    12,381.15/18,566.42 = 7,694.14/x
  3. Step 3: Cross multiply
    12,381.15x = 18,566.42 × 7,694.14
  4. Step 4: Simplify right side
    12,381.15x = 142,852,584.70
  5. Step 5: Solve for x
    x = 142,852,584.70/12,381.15
  6. Step 6: Final answer
    x = 11,537.91

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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.