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Finding the Fourth Proportional to 8,214.32, 12,321.48 and 6,978.80

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Solution

The fourth proportional to 8,214.32, 12,321.48 and 6,978.80 is: 10,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.32 : 12,321.48 = 6,978.80 : x
  2. Step 2: Convert to fraction form
    8,214.32/12,321.48 = 6,978.80/x
  3. Step 3: Cross multiply
    8,214.32x = 12,321.48 × 6,978.80
  4. Step 4: Simplify right side
    8,214.32x = 85,989,144.62
  5. Step 5: Solve for x
    x = 85,989,144.62/8,214.32
  6. Step 6: Final answer
    x = 10,468.20

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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.