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Finding the Fourth Proportional to 8,447.04, 12,664.08 and 5,161.68

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Solution

The fourth proportional to 8,447.04, 12,664.08 and 5,161.68 is: 7,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.04 : 12,664.08 = 5,161.68 : x
  2. Step 2: Convert to fraction form
    8,447.04/12,664.08 = 5,161.68/x
  3. Step 3: Cross multiply
    8,447.04x = 12,664.08 × 5,161.68
  4. Step 4: Simplify right side
    8,447.04x = 65,367,928.45
  5. Step 5: Solve for x
    x = 65,367,928.45/8,447.04
  6. Step 6: Final answer
    x = 7,738.56

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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.