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Finding the Fourth Proportional to 3,839.58, 5,754.56 and 1,645.74

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Solution

The fourth proportional to 3,839.58, 5,754.56 and 1,645.74 is: 2,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.58 : 5,754.56 = 1,645.74 : x
  2. Step 2: Convert to fraction form
    3,839.58/5,754.56 = 1,645.74/x
  3. Step 3: Cross multiply
    3,839.58x = 5,754.56 × 1,645.74
  4. Step 4: Simplify right side
    3,839.58x = 9,470,509.57
  5. Step 5: Solve for x
    x = 9,470,509.57/3,839.58
  6. Step 6: Final answer
    x = 2,466.55

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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.