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Finding the Fourth Proportional to 8,586, 12,877.48 and 3,904.91

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Solution

The fourth proportional to 8,586, 12,877.48 and 3,904.91 is: 5,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 12,877.48 = 3,904.91 : x
  2. Step 2: Convert to fraction form
    8,586/12,877.48 = 3,904.91/x
  3. Step 3: Cross multiply
    8,586x = 12,877.48 × 3,904.91
  4. Step 4: Simplify right side
    8,586x = 50,285,389.21
  5. Step 5: Solve for x
    x = 50,285,389.21/8,586
  6. Step 6: Final answer
    x = 5,856.67

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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.