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Finding the Fourth Proportional to 8,586.70, 12,867.90 and 3,386.50

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Solution

The fourth proportional to 8,586.70, 12,867.90 and 3,386.50 is: 5,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.70 : 12,867.90 = 3,386.50 : x
  2. Step 2: Convert to fraction form
    8,586.70/12,867.90 = 3,386.50/x
  3. Step 3: Cross multiply
    8,586.70x = 12,867.90 × 3,386.50
  4. Step 4: Simplify right side
    8,586.70x = 43,577,143.35
  5. Step 5: Solve for x
    x = 43,577,143.35/8,586.70
  6. Step 6: Final answer
    x = 5,074.96

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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.