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Finding the Fourth Proportional to 2,175.31, 3,260.62 and 1,077.31

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Solution

The fourth proportional to 2,175.31, 3,260.62 and 1,077.31 is: 1,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.31 : 3,260.62 = 1,077.31 : x
  2. Step 2: Convert to fraction form
    2,175.31/3,260.62 = 1,077.31/x
  3. Step 3: Cross multiply
    2,175.31x = 3,260.62 × 1,077.31
  4. Step 4: Simplify right side
    2,175.31x = 3,512,698.53
  5. Step 5: Solve for x
    x = 3,512,698.53/2,175.31
  6. Step 6: Final answer
    x = 1,614.80

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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.