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Finding the Fourth Proportional to 2,780.97, 3,837.90 and 1,521.99

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Solution

The fourth proportional to 2,780.97, 3,837.90 and 1,521.99 is: 2,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.97 : 3,837.90 = 1,521.99 : x
  2. Step 2: Convert to fraction form
    2,780.97/3,837.90 = 1,521.99/x
  3. Step 3: Cross multiply
    2,780.97x = 3,837.90 × 1,521.99
  4. Step 4: Simplify right side
    2,780.97x = 5,841,245.42
  5. Step 5: Solve for x
    x = 5,841,245.42/2,780.97
  6. Step 6: Final answer
    x = 2,100.43

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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.