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Finding the Fourth Proportional to 8,586.57, 12,858.74 and 4,189.85

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Solution

The fourth proportional to 8,586.57, 12,858.74 and 4,189.85 is: 6,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.57 : 12,858.74 = 4,189.85 : x
  2. Step 2: Convert to fraction form
    8,586.57/12,858.74 = 4,189.85/x
  3. Step 3: Cross multiply
    8,586.57x = 12,858.74 × 4,189.85
  4. Step 4: Simplify right side
    8,586.57x = 53,876,170.84
  5. Step 5: Solve for x
    x = 53,876,170.84/8,586.57
  6. Step 6: Final answer
    x = 6,274.47

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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.