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Finding the Fourth Proportional to 2,864.50, 3,953.11 and 2,733.28

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Solution

The fourth proportional to 2,864.50, 3,953.11 and 2,733.28 is: 3,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.50 : 3,953.11 = 2,733.28 : x
  2. Step 2: Convert to fraction form
    2,864.50/3,953.11 = 2,733.28/x
  3. Step 3: Cross multiply
    2,864.50x = 3,953.11 × 2,733.28
  4. Step 4: Simplify right side
    2,864.50x = 10,804,939.78
  5. Step 5: Solve for x
    x = 10,804,939.78/2,864.50
  6. Step 6: Final answer
    x = 3,772.02

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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.