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Finding the Fourth Proportional to 18,563, 27,774.75 and 13,027.15

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Solution

The fourth proportional to 18,563, 27,774.75 and 13,027.15 is: 19,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563 : 27,774.75 = 13,027.15 : x
  2. Step 2: Convert to fraction form
    18,563/27,774.75 = 13,027.15/x
  3. Step 3: Cross multiply
    18,563x = 27,774.75 × 13,027.15
  4. Step 4: Simplify right side
    18,563x = 361,825,834.46
  5. Step 5: Solve for x
    x = 361,825,834.46/18,563
  6. Step 6: Final answer
    x = 19,491.78

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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.