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Finding the Fourth Proportional to 8,260.82, 12,383.09 and 5,290.83

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Solution

The fourth proportional to 8,260.82, 12,383.09 and 5,290.83 is: 7,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.82 : 12,383.09 = 5,290.83 : x
  2. Step 2: Convert to fraction form
    8,260.82/12,383.09 = 5,290.83/x
  3. Step 3: Cross multiply
    8,260.82x = 12,383.09 × 5,290.83
  4. Step 4: Simplify right side
    8,260.82x = 65,516,767.74
  5. Step 5: Solve for x
    x = 65,516,767.74/8,260.82
  6. Step 6: Final answer
    x = 7,931.03

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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.