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Finding the Fourth Proportional to 3,176.67, 4,383.61 and 1,865.88

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Solution

The fourth proportional to 3,176.67, 4,383.61 and 1,865.88 is: 2,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.67 : 4,383.61 = 1,865.88 : x
  2. Step 2: Convert to fraction form
    3,176.67/4,383.61 = 1,865.88/x
  3. Step 3: Cross multiply
    3,176.67x = 4,383.61 × 1,865.88
  4. Step 4: Simplify right side
    3,176.67x = 8,179,258.98
  5. Step 5: Solve for x
    x = 8,179,258.98/3,176.67
  6. Step 6: Final answer
    x = 2,574.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.