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Finding the Fourth Proportional to 8,214.82, 12,322.23 and 6,979.30

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Solution

The fourth proportional to 8,214.82, 12,322.23 and 6,979.30 is: 10,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.82 : 12,322.23 = 6,979.30 : x
  2. Step 2: Convert to fraction form
    8,214.82/12,322.23 = 6,979.30/x
  3. Step 3: Cross multiply
    8,214.82x = 12,322.23 × 6,979.30
  4. Step 4: Simplify right side
    8,214.82x = 86,000,539.84
  5. Step 5: Solve for x
    x = 86,000,539.84/8,214.82
  6. Step 6: Final answer
    x = 10,468.95

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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.