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Finding the Fourth Proportional to 30,142.50, 45,213.84 and 9,366

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Solution

The fourth proportional to 30,142.50, 45,213.84 and 9,366 is: 14,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.50 : 45,213.84 = 9,366 : x
  2. Step 2: Convert to fraction form
    30,142.50/45,213.84 = 9,366/x
  3. Step 3: Cross multiply
    30,142.50x = 45,213.84 × 9,366
  4. Step 4: Simplify right side
    30,142.50x = 423,472,825.44
  5. Step 5: Solve for x
    x = 423,472,825.44/30,142.50
  6. Step 6: Final answer
    x = 14,049.03

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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.