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Finding the Fourth Proportional to 8,466.55, 12,685.96 and 8,142.55

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Solution

The fourth proportional to 8,466.55, 12,685.96 and 8,142.55 is: 12,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.55 : 12,685.96 = 8,142.55 : x
  2. Step 2: Convert to fraction form
    8,466.55/12,685.96 = 8,142.55/x
  3. Step 3: Cross multiply
    8,466.55x = 12,685.96 × 8,142.55
  4. Step 4: Simplify right side
    8,466.55x = 103,296,063.60
  5. Step 5: Solve for x
    x = 103,296,063.60/8,466.55
  6. Step 6: Final answer
    x = 12,200.49

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Half scale
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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.