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Finding the Fourth Proportional to 2,687.64, 3,705.30 and 1,990.68

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Solution

The fourth proportional to 2,687.64, 3,705.30 and 1,990.68 is: 2,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.64 : 3,705.30 = 1,990.68 : x
  2. Step 2: Convert to fraction form
    2,687.64/3,705.30 = 1,990.68/x
  3. Step 3: Cross multiply
    2,687.64x = 3,705.30 × 1,990.68
  4. Step 4: Simplify right side
    2,687.64x = 7,376,066.60
  5. Step 5: Solve for x
    x = 7,376,066.60/2,687.64
  6. Step 6: Final answer
    x = 2,744.44

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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.