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Finding the Fourth Proportional to 30,937.75, 42,694.73 and 17,509

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Solution

The fourth proportional to 30,937.75, 42,694.73 and 17,509 is: 24,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937.75 : 42,694.73 = 17,509 : x
  2. Step 2: Convert to fraction form
    30,937.75/42,694.73 = 17,509/x
  3. Step 3: Cross multiply
    30,937.75x = 42,694.73 × 17,509
  4. Step 4: Simplify right side
    30,937.75x = 747,542,027.57
  5. Step 5: Solve for x
    x = 747,542,027.57/30,937.75
  6. Step 6: Final answer
    x = 24,162.78

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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.