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Finding the Fourth Proportional to 18,549.78, 27,824.97 and 5,402.25

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Solution

The fourth proportional to 18,549.78, 27,824.97 and 5,402.25 is: 8,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.78 : 27,824.97 = 5,402.25 : x
  2. Step 2: Convert to fraction form
    18,549.78/27,824.97 = 5,402.25/x
  3. Step 3: Cross multiply
    18,549.78x = 27,824.97 × 5,402.25
  4. Step 4: Simplify right side
    18,549.78x = 150,317,444.18
  5. Step 5: Solve for x
    x = 150,317,444.18/18,549.78
  6. Step 6: Final answer
    x = 8,103.46

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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.