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Finding the Fourth Proportional to 30,406.62, 41,960.73 and 16,978.11

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Solution

The fourth proportional to 30,406.62, 41,960.73 and 16,978.11 is: 23,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.62 : 41,960.73 = 16,978.11 : x
  2. Step 2: Convert to fraction form
    30,406.62/41,960.73 = 16,978.11/x
  3. Step 3: Cross multiply
    30,406.62x = 41,960.73 × 16,978.11
  4. Step 4: Simplify right side
    30,406.62x = 712,413,795.94
  5. Step 5: Solve for x
    x = 712,413,795.94/30,406.62
  6. Step 6: Final answer
    x = 23,429.56

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1.5x scale

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.