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Finding the Fourth Proportional to 28,919.25, 39,914.03 and 16,344

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Solution

The fourth proportional to 28,919.25, 39,914.03 and 16,344 is: 22,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,919.25 : 39,914.03 = 16,344 : x
  2. Step 2: Convert to fraction form
    28,919.25/39,914.03 = 16,344/x
  3. Step 3: Cross multiply
    28,919.25x = 39,914.03 × 16,344
  4. Step 4: Simplify right side
    28,919.25x = 652,354,947.18
  5. Step 5: Solve for x
    x = 652,354,947.18/28,919.25
  6. Step 6: Final answer
    x = 22,557.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.