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Finding the Fourth Proportional to 30,420.69, 41,978.82 and 16,992.78

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Solution

The fourth proportional to 30,420.69, 41,978.82 and 16,992.78 is: 23,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.69 : 41,978.82 = 16,992.78 : x
  2. Step 2: Convert to fraction form
    30,420.69/41,978.82 = 16,992.78/x
  3. Step 3: Cross multiply
    30,420.69x = 41,978.82 × 16,992.78
  4. Step 4: Simplify right side
    30,420.69x = 713,336,852.92
  5. Step 5: Solve for x
    x = 713,336,852.92/30,420.69
  6. Step 6: Final answer
    x = 23,449.07

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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.