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Finding the Fourth Proportional to 8,309.77, 12,464.84 and 3,112.81

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Solution

The fourth proportional to 8,309.77, 12,464.84 and 3,112.81 is: 4,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.77 : 12,464.84 = 3,112.81 : x
  2. Step 2: Convert to fraction form
    8,309.77/12,464.84 = 3,112.81/x
  3. Step 3: Cross multiply
    8,309.77x = 12,464.84 × 3,112.81
  4. Step 4: Simplify right side
    8,309.77x = 38,800,678.60
  5. Step 5: Solve for x
    x = 38,800,678.60/8,309.77
  6. Step 6: Final answer
    x = 4,669.28

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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.