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Finding the Fourth Proportional to 8,462.55, 12,679.97 and 8,138.55

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Solution

The fourth proportional to 8,462.55, 12,679.97 and 8,138.55 is: 12,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.55 : 12,679.97 = 8,138.55 : x
  2. Step 2: Convert to fraction form
    8,462.55/12,679.97 = 8,138.55/x
  3. Step 3: Cross multiply
    8,462.55x = 12,679.97 × 8,138.55
  4. Step 4: Simplify right side
    8,462.55x = 103,196,529.15
  5. Step 5: Solve for x
    x = 103,196,529.15/8,462.55
  6. Step 6: Final answer
    x = 12,194.50

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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.