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Finding the Fourth Proportional to 2,891, 3,990.66 and 2,672.84

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Solution

The fourth proportional to 2,891, 3,990.66 and 2,672.84 is: 3,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891 : 3,990.66 = 2,672.84 : x
  2. Step 2: Convert to fraction form
    2,891/3,990.66 = 2,672.84/x
  3. Step 3: Cross multiply
    2,891x = 3,990.66 × 2,672.84
  4. Step 4: Simplify right side
    2,891x = 10,666,395.67
  5. Step 5: Solve for x
    x = 10,666,395.67/2,891
  6. Step 6: Final answer
    x = 3,689.52

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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.