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Finding the Fourth Proportional to 5,459.45, 8,189.11 and 3,849.97

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Solution

The fourth proportional to 5,459.45, 8,189.11 and 3,849.97 is: 5,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.45 : 8,189.11 = 3,849.97 : x
  2. Step 2: Convert to fraction form
    5,459.45/8,189.11 = 3,849.97/x
  3. Step 3: Cross multiply
    5,459.45x = 8,189.11 × 3,849.97
  4. Step 4: Simplify right side
    5,459.45x = 31,527,838.35
  5. Step 5: Solve for x
    x = 31,527,838.35/5,459.45
  6. Step 6: Final answer
    x = 5,774.91

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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.