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Finding the Fourth Proportional to 8,125, 11,212.50 and 4,399

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Solution

The fourth proportional to 8,125, 11,212.50 and 4,399 is: 6,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125 : 11,212.50 = 4,399 : x
  2. Step 2: Convert to fraction form
    8,125/11,212.50 = 4,399/x
  3. Step 3: Cross multiply
    8,125x = 11,212.50 × 4,399
  4. Step 4: Simplify right side
    8,125x = 49,323,787.50
  5. Step 5: Solve for x
    x = 49,323,787.50/8,125
  6. Step 6: Final answer
    x = 6,070.62

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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.