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Finding the Fourth Proportional to 8,215.44, 12,305.88 and 3,836.40

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Solution

The fourth proportional to 8,215.44, 12,305.88 and 3,836.40 is: 5,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.44 : 12,305.88 = 3,836.40 : x
  2. Step 2: Convert to fraction form
    8,215.44/12,305.88 = 3,836.40/x
  3. Step 3: Cross multiply
    8,215.44x = 12,305.88 × 3,836.40
  4. Step 4: Simplify right side
    8,215.44x = 47,210,278.03
  5. Step 5: Solve for x
    x = 47,210,278.03/8,215.44
  6. Step 6: Final answer
    x = 5,746.53

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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.