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Finding the Fourth Proportional to 18,503.36, 27,765.98 and 6,824.78

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Solution

The fourth proportional to 18,503.36, 27,765.98 and 6,824.78 is: 10,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,503.36 : 27,765.98 = 6,824.78 : x
  2. Step 2: Convert to fraction form
    18,503.36/27,765.98 = 6,824.78/x
  3. Step 3: Cross multiply
    18,503.36x = 27,765.98 × 6,824.78
  4. Step 4: Simplify right side
    18,503.36x = 189,496,670.86
  5. Step 5: Solve for x
    x = 189,496,670.86/18,503.36
  6. Step 6: Final answer
    x = 10,241.20

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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.