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Finding the Fourth Proportional to 18,563.25, 27,775.13 and 13,027.40

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Solution

The fourth proportional to 18,563.25, 27,775.13 and 13,027.40 is: 19,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.25 : 27,775.13 = 13,027.40 : x
  2. Step 2: Convert to fraction form
    18,563.25/27,775.13 = 13,027.40/x
  3. Step 3: Cross multiply
    18,563.25x = 27,775.13 × 13,027.40
  4. Step 4: Simplify right side
    18,563.25x = 361,837,524.55
  5. Step 5: Solve for x
    x = 361,837,524.55/18,563.25
  6. Step 6: Final answer
    x = 19,492.14

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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.