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Finding the Fourth Proportional to 8,214.60, 12,321.90 and 8,128.20

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Solution

The fourth proportional to 8,214.60, 12,321.90 and 8,128.20 is: 12,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.60 : 12,321.90 = 8,128.20 : x
  2. Step 2: Convert to fraction form
    8,214.60/12,321.90 = 8,128.20/x
  3. Step 3: Cross multiply
    8,214.60x = 12,321.90 × 8,128.20
  4. Step 4: Simplify right side
    8,214.60x = 100,154,867.58
  5. Step 5: Solve for x
    x = 100,154,867.58/8,214.60
  6. Step 6: Final answer
    x = 12,192.30

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Half scale
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Double scale
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Similar ratio
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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.