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Finding the Fourth Proportional to 2,327, 3,210.37 and 1,722.78

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Solution

The fourth proportional to 2,327, 3,210.37 and 1,722.78 is: 2,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327 : 3,210.37 = 1,722.78 : x
  2. Step 2: Convert to fraction form
    2,327/3,210.37 = 1,722.78/x
  3. Step 3: Cross multiply
    2,327x = 3,210.37 × 1,722.78
  4. Step 4: Simplify right side
    2,327x = 5,530,761.23
  5. Step 5: Solve for x
    x = 5,530,761.23/2,327
  6. Step 6: Final answer
    x = 2,376.78

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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.