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Finding the Fourth Proportional to 42,393.75, 63,591.84 and 11,229

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Solution

The fourth proportional to 42,393.75, 63,591.84 and 11,229 is: 16,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,393.75 : 63,591.84 = 11,229 : x
  2. Step 2: Convert to fraction form
    42,393.75/63,591.84 = 11,229/x
  3. Step 3: Cross multiply
    42,393.75x = 63,591.84 × 11,229
  4. Step 4: Simplify right side
    42,393.75x = 714,072,771.36
  5. Step 5: Solve for x
    x = 714,072,771.36/42,393.75
  6. Step 6: Final answer
    x = 16,843.82

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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.