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Finding the Fourth Proportional to 8,441, 12,656.86 and 2,891.24

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Solution

The fourth proportional to 8,441, 12,656.86 and 2,891.24 is: 4,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441 : 12,656.86 = 2,891.24 : x
  2. Step 2: Convert to fraction form
    8,441/12,656.86 = 2,891.24/x
  3. Step 3: Cross multiply
    8,441x = 12,656.86 × 2,891.24
  4. Step 4: Simplify right side
    8,441x = 36,594,019.91
  5. Step 5: Solve for x
    x = 36,594,019.91/8,441
  6. Step 6: Final answer
    x = 4,335.27

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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.