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Finding the Fourth Proportional to 22,272, 33,378.75 and 12,415.92

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Solution

The fourth proportional to 22,272, 33,378.75 and 12,415.92 is: 18,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272 : 33,378.75 = 12,415.92 : x
  2. Step 2: Convert to fraction form
    22,272/33,378.75 = 12,415.92/x
  3. Step 3: Cross multiply
    22,272x = 33,378.75 × 12,415.92
  4. Step 4: Simplify right side
    22,272x = 414,427,889.70
  5. Step 5: Solve for x
    x = 414,427,889.70/22,272
  6. Step 6: Final answer
    x = 18,607.57

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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.