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Finding the Fourth Proportional to 8,381.25, 12,571.88 and 2,225.25

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Solution

The fourth proportional to 8,381.25, 12,571.88 and 2,225.25 is: 3,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.25 : 12,571.88 = 2,225.25 : x
  2. Step 2: Convert to fraction form
    8,381.25/12,571.88 = 2,225.25/x
  3. Step 3: Cross multiply
    8,381.25x = 12,571.88 × 2,225.25
  4. Step 4: Simplify right side
    8,381.25x = 27,975,564.84
  5. Step 5: Solve for x
    x = 27,975,564.84/8,381.25
  6. Step 6: Final answer
    x = 3,337.88

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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.