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Finding the Fourth Proportional to 18,415.83, 27,623.56 and 7,876.92

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Solution

The fourth proportional to 18,415.83, 27,623.56 and 7,876.92 is: 11,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.83 : 27,623.56 = 7,876.92 : x
  2. Step 2: Convert to fraction form
    18,415.83/27,623.56 = 7,876.92/x
  3. Step 3: Cross multiply
    18,415.83x = 27,623.56 × 7,876.92
  4. Step 4: Simplify right side
    18,415.83x = 217,588,571.06
  5. Step 5: Solve for x
    x = 217,588,571.06/18,415.83
  6. Step 6: Final answer
    x = 11,815.30

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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.