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Finding the Fourth Proportional to 30,412.88, 41,959.92 and 16,982

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Solution

The fourth proportional to 30,412.88, 41,959.92 and 16,982 is: 23,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.88 : 41,959.92 = 16,982 : x
  2. Step 2: Convert to fraction form
    30,412.88/41,959.92 = 16,982/x
  3. Step 3: Cross multiply
    30,412.88x = 41,959.92 × 16,982
  4. Step 4: Simplify right side
    30,412.88x = 712,563,361.44
  5. Step 5: Solve for x
    x = 712,563,361.44/30,412.88
  6. Step 6: Final answer
    x = 23,429.66

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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.