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Finding the Fourth Proportional to 42,550, 63,825 and 11,384.44

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Solution

The fourth proportional to 42,550, 63,825 and 11,384.44 is: 17,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,550 : 63,825 = 11,384.44 : x
  2. Step 2: Convert to fraction form
    42,550/63,825 = 11,384.44/x
  3. Step 3: Cross multiply
    42,550x = 63,825 × 11,384.44
  4. Step 4: Simplify right side
    42,550x = 726,611,883
  5. Step 5: Solve for x
    x = 726,611,883/42,550
  6. Step 6: Final answer
    x = 17,076.66

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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.