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Finding the Fourth Proportional to 8,449.16, 12,676.74 and 4,286.00

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Solution

The fourth proportional to 8,449.16, 12,676.74 and 4,286.00 is: 6,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.16 : 12,676.74 = 4,286.00 : x
  2. Step 2: Convert to fraction form
    8,449.16/12,676.74 = 4,286.00/x
  3. Step 3: Cross multiply
    8,449.16x = 12,676.74 × 4,286.00
  4. Step 4: Simplify right side
    8,449.16x = 54,332,444.26
  5. Step 5: Solve for x
    x = 54,332,444.26/8,449.16
  6. Step 6: Final answer
    x = 6,430.52

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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.