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Finding the Fourth Proportional to 3,845.66, 5,764 and 1,765.88

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Solution

The fourth proportional to 3,845.66, 5,764 and 1,765.88 is: 2,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.66 : 5,764 = 1,765.88 : x
  2. Step 2: Convert to fraction form
    3,845.66/5,764 = 1,765.88/x
  3. Step 3: Cross multiply
    3,845.66x = 5,764 × 1,765.88
  4. Step 4: Simplify right side
    3,845.66x = 10,178,532.32
  5. Step 5: Solve for x
    x = 10,178,532.32/3,845.66
  6. Step 6: Final answer
    x = 2,646.76

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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.