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Finding the Fourth Proportional to 8,215.25, 12,322.89 and 2,059.25

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Solution

The fourth proportional to 8,215.25, 12,322.89 and 2,059.25 is: 3,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.25 : 12,322.89 = 2,059.25 : x
  2. Step 2: Convert to fraction form
    8,215.25/12,322.89 = 2,059.25/x
  3. Step 3: Cross multiply
    8,215.25x = 12,322.89 × 2,059.25
  4. Step 4: Simplify right side
    8,215.25x = 25,375,911.23
  5. Step 5: Solve for x
    x = 25,375,911.23/8,215.25
  6. Step 6: Final answer
    x = 3,088.88

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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.