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Finding the Fourth Proportional to 3,251.72, 4,876.64 and 1,864.82

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Solution

The fourth proportional to 3,251.72, 4,876.64 and 1,864.82 is: 2,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.72 : 4,876.64 = 1,864.82 : x
  2. Step 2: Convert to fraction form
    3,251.72/4,876.64 = 1,864.82/x
  3. Step 3: Cross multiply
    3,251.72x = 4,876.64 × 1,864.82
  4. Step 4: Simplify right side
    3,251.72x = 9,094,046.48
  5. Step 5: Solve for x
    x = 9,094,046.48/3,251.72
  6. Step 6: Final answer
    x = 2,796.69

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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.