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Finding the Fourth Proportional to 30,381.84, 41,929.30 and 16,772.55

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Solution

The fourth proportional to 30,381.84, 41,929.30 and 16,772.55 is: 23,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.84 : 41,929.30 = 16,772.55 : x
  2. Step 2: Convert to fraction form
    30,381.84/41,929.30 = 16,772.55/x
  3. Step 3: Cross multiply
    30,381.84x = 41,929.30 × 16,772.55
  4. Step 4: Simplify right side
    30,381.84x = 703,261,144.45
  5. Step 5: Solve for x
    x = 703,261,144.45/30,381.84
  6. Step 6: Final answer
    x = 23,147.42

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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.