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Finding the Fourth Proportional to 8,336, 12,507.84 and 3,141.44

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Solution

The fourth proportional to 8,336, 12,507.84 and 3,141.44 is: 4,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336 : 12,507.84 = 3,141.44 : x
  2. Step 2: Convert to fraction form
    8,336/12,507.84 = 3,141.44/x
  3. Step 3: Cross multiply
    8,336x = 12,507.84 × 3,141.44
  4. Step 4: Simplify right side
    8,336x = 39,292,628.89
  5. Step 5: Solve for x
    x = 39,292,628.89/8,336
  6. Step 6: Final answer
    x = 4,713.61

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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.