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Finding the Fourth Proportional to 8,309.63, 12,464.99 and 3,115.64

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Solution

The fourth proportional to 8,309.63, 12,464.99 and 3,115.64 is: 4,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.63 : 12,464.99 = 3,115.64 : x
  2. Step 2: Convert to fraction form
    8,309.63/12,464.99 = 3,115.64/x
  3. Step 3: Cross multiply
    8,309.63x = 12,464.99 × 3,115.64
  4. Step 4: Simplify right side
    8,309.63x = 38,836,343.54
  5. Step 5: Solve for x
    x = 38,836,343.54/8,309.63
  6. Step 6: Final answer
    x = 4,673.66

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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.