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Finding the Fourth Proportional to 30,381, 45,591.75 and 11,676.48

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Solution

The fourth proportional to 30,381, 45,591.75 and 11,676.48 is: 17,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381 : 45,591.75 = 11,676.48 : x
  2. Step 2: Convert to fraction form
    30,381/45,591.75 = 11,676.48/x
  3. Step 3: Cross multiply
    30,381x = 45,591.75 × 11,676.48
  4. Step 4: Simplify right side
    30,381x = 532,351,157.04
  5. Step 5: Solve for x
    x = 532,351,157.04/30,381
  6. Step 6: Final answer
    x = 17,522.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.