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Finding the Fourth Proportional to 9,481, 14,221.50 and 3,325

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Solution

The fourth proportional to 9,481, 14,221.50 and 3,325 is: 4,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481 : 14,221.50 = 3,325 : x
  2. Step 2: Convert to fraction form
    9,481/14,221.50 = 3,325/x
  3. Step 3: Cross multiply
    9,481x = 14,221.50 × 3,325
  4. Step 4: Simplify right side
    9,481x = 47,286,487.50
  5. Step 5: Solve for x
    x = 47,286,487.50/9,481
  6. Step 6: Final answer
    x = 4,987.50

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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.