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Finding the Fourth Proportional to 30,228.92, 41,712.73 and 16,798

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Solution

The fourth proportional to 30,228.92, 41,712.73 and 16,798 is: 23,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.92 : 41,712.73 = 16,798 : x
  2. Step 2: Convert to fraction form
    30,228.92/41,712.73 = 16,798/x
  3. Step 3: Cross multiply
    30,228.92x = 41,712.73 × 16,798
  4. Step 4: Simplify right side
    30,228.92x = 700,690,438.54
  5. Step 5: Solve for x
    x = 700,690,438.54/30,228.92
  6. Step 6: Final answer
    x = 23,179.47

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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.