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Finding the Fourth Proportional to 2,670.71, 3,687.62 and 2,080.22

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Solution

The fourth proportional to 2,670.71, 3,687.62 and 2,080.22 is: 2,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.71 : 3,687.62 = 2,080.22 : x
  2. Step 2: Convert to fraction form
    2,670.71/3,687.62 = 2,080.22/x
  3. Step 3: Cross multiply
    2,670.71x = 3,687.62 × 2,080.22
  4. Step 4: Simplify right side
    2,670.71x = 7,671,032.04
  5. Step 5: Solve for x
    x = 7,671,032.04/2,670.71
  6. Step 6: Final answer
    x = 2,872.29

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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.