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Finding the Fourth Proportional to 8,449.21, 11,653.86 and 5,931.88

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Solution

The fourth proportional to 8,449.21, 11,653.86 and 5,931.88 is: 8,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.21 : 11,653.86 = 5,931.88 : x
  2. Step 2: Convert to fraction form
    8,449.21/11,653.86 = 5,931.88/x
  3. Step 3: Cross multiply
    8,449.21x = 11,653.86 × 5,931.88
  4. Step 4: Simplify right side
    8,449.21x = 69,129,299.06
  5. Step 5: Solve for x
    x = 69,129,299.06/8,449.21
  6. Step 6: Final answer
    x = 8,181.75

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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.