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Finding the Fourth Proportional to 3,786.98, 5,681.31 and 1,154.72

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Solution

The fourth proportional to 3,786.98, 5,681.31 and 1,154.72 is: 1,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.98 : 5,681.31 = 1,154.72 : x
  2. Step 2: Convert to fraction form
    3,786.98/5,681.31 = 1,154.72/x
  3. Step 3: Cross multiply
    3,786.98x = 5,681.31 × 1,154.72
  4. Step 4: Simplify right side
    3,786.98x = 6,560,322.28
  5. Step 5: Solve for x
    x = 6,560,322.28/3,786.98
  6. Step 6: Final answer
    x = 1,732.34

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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.