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Finding the Fourth Proportional to 18,561, 27,771.75 and 13,025.15

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Solution

The fourth proportional to 18,561, 27,771.75 and 13,025.15 is: 19,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561 : 27,771.75 = 13,025.15 : x
  2. Step 2: Convert to fraction form
    18,561/27,771.75 = 13,025.15/x
  3. Step 3: Cross multiply
    18,561x = 27,771.75 × 13,025.15
  4. Step 4: Simplify right side
    18,561x = 361,731,070.65
  5. Step 5: Solve for x
    x = 361,731,070.65/18,561
  6. Step 6: Final answer
    x = 19,488.77

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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.