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Finding the Fourth Proportional to 9,375, 14,063.22 and 3,219

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Solution

The fourth proportional to 9,375, 14,063.22 and 3,219 is: 4,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375 : 14,063.22 = 3,219 : x
  2. Step 2: Convert to fraction form
    9,375/14,063.22 = 3,219/x
  3. Step 3: Cross multiply
    9,375x = 14,063.22 × 3,219
  4. Step 4: Simplify right side
    9,375x = 45,269,505.18
  5. Step 5: Solve for x
    x = 45,269,505.18/9,375
  6. Step 6: Final answer
    x = 4,828.75

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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.