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Finding the Fourth Proportional to 8,213.32, 12,319.98 and 6,977.80

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Solution

The fourth proportional to 8,213.32, 12,319.98 and 6,977.80 is: 10,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.32 : 12,319.98 = 6,977.80 : x
  2. Step 2: Convert to fraction form
    8,213.32/12,319.98 = 6,977.80/x
  3. Step 3: Cross multiply
    8,213.32x = 12,319.98 × 6,977.80
  4. Step 4: Simplify right side
    8,213.32x = 85,966,356.44
  5. Step 5: Solve for x
    x = 85,966,356.44/8,213.32
  6. Step 6: Final answer
    x = 10,466.70

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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.