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Finding the Fourth Proportional to 8,462, 11,680.08 and 5,944.80

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Solution

The fourth proportional to 8,462, 11,680.08 and 5,944.80 is: 8,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 11,680.08 = 5,944.80 : x
  2. Step 2: Convert to fraction form
    8,462/11,680.08 = 5,944.80/x
  3. Step 3: Cross multiply
    8,462x = 11,680.08 × 5,944.80
  4. Step 4: Simplify right side
    8,462x = 69,435,739.58
  5. Step 5: Solve for x
    x = 69,435,739.58/8,462
  6. Step 6: Final answer
    x = 8,205.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.