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Finding the Fourth Proportional to 30,309.77, 41,825.90 and 16,880.78

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Solution

The fourth proportional to 30,309.77, 41,825.90 and 16,880.78 is: 23,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.77 : 41,825.90 = 16,880.78 : x
  2. Step 2: Convert to fraction form
    30,309.77/41,825.90 = 16,880.78/x
  3. Step 3: Cross multiply
    30,309.77x = 41,825.90 × 16,880.78
  4. Step 4: Simplify right side
    30,309.77x = 706,053,731.80
  5. Step 5: Solve for x
    x = 706,053,731.80/30,309.77
  6. Step 6: Final answer
    x = 23,294.59

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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.