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Finding the Fourth Proportional to 11,855.30, 16,362 and 7,380.45

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Solution

The fourth proportional to 11,855.30, 16,362 and 7,380.45 is: 10,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.30 : 16,362 = 7,380.45 : x
  2. Step 2: Convert to fraction form
    11,855.30/16,362 = 7,380.45/x
  3. Step 3: Cross multiply
    11,855.30x = 16,362 × 7,380.45
  4. Step 4: Simplify right side
    11,855.30x = 120,758,922.90
  5. Step 5: Solve for x
    x = 120,758,922.90/11,855.30
  6. Step 6: Final answer
    x = 10,186.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.