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Finding the Fourth Proportional to 8,257.75, 12,384.80 and 2,991.94

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Solution

The fourth proportional to 8,257.75, 12,384.80 and 2,991.94 is: 4,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.75 : 12,384.80 = 2,991.94 : x
  2. Step 2: Convert to fraction form
    8,257.75/12,384.80 = 2,991.94/x
  3. Step 3: Cross multiply
    8,257.75x = 12,384.80 × 2,991.94
  4. Step 4: Simplify right side
    8,257.75x = 37,054,543.81
  5. Step 5: Solve for x
    x = 37,054,543.81/8,257.75
  6. Step 6: Final answer
    x = 4,487.25

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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.