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Finding the Fourth Proportional to 8,574, 12,861.15 and 3,027.21

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Solution

The fourth proportional to 8,574, 12,861.15 and 3,027.21 is: 4,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574 : 12,861.15 = 3,027.21 : x
  2. Step 2: Convert to fraction form
    8,574/12,861.15 = 3,027.21/x
  3. Step 3: Cross multiply
    8,574x = 12,861.15 × 3,027.21
  4. Step 4: Simplify right side
    8,574x = 38,933,401.89
  5. Step 5: Solve for x
    x = 38,933,401.89/8,574
  6. Step 6: Final answer
    x = 4,540.87

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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.