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Finding the Fourth Proportional to 3,786.60, 5,680.74 and 1,154.22

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Solution

The fourth proportional to 3,786.60, 5,680.74 and 1,154.22 is: 1,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.60 : 5,680.74 = 1,154.22 : x
  2. Step 2: Convert to fraction form
    3,786.60/5,680.74 = 1,154.22/x
  3. Step 3: Cross multiply
    3,786.60x = 5,680.74 × 1,154.22
  4. Step 4: Simplify right side
    3,786.60x = 6,556,823.72
  5. Step 5: Solve for x
    x = 6,556,823.72/3,786.60
  6. Step 6: Final answer
    x = 1,731.59

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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.