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Finding the Fourth Proportional to 30,456, 42,029.28 and 17,208

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Solution

The fourth proportional to 30,456, 42,029.28 and 17,208 is: 23,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 42,029.28 = 17,208 : x
  2. Step 2: Convert to fraction form
    30,456/42,029.28 = 17,208/x
  3. Step 3: Cross multiply
    30,456x = 42,029.28 × 17,208
  4. Step 4: Simplify right side
    30,456x = 723,239,850.24
  5. Step 5: Solve for x
    x = 723,239,850.24/30,456
  6. Step 6: Final answer
    x = 23,747.04

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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.