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Finding the Fourth Proportional to 3,780.75, 5,672.02 and 3,718

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Solution

The fourth proportional to 3,780.75, 5,672.02 and 3,718 is: 5,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.75 : 5,672.02 = 3,718 : x
  2. Step 2: Convert to fraction form
    3,780.75/5,672.02 = 3,718/x
  3. Step 3: Cross multiply
    3,780.75x = 5,672.02 × 3,718
  4. Step 4: Simplify right side
    3,780.75x = 21,088,570.36
  5. Step 5: Solve for x
    x = 21,088,570.36/3,780.75
  6. Step 6: Final answer
    x = 5,577.88

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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.