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Finding the Fourth Proportional to 2,780.98, 3,837.51 and 1,786.23

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Solution

The fourth proportional to 2,780.98, 3,837.51 and 1,786.23 is: 2,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.98 : 3,837.51 = 1,786.23 : x
  2. Step 2: Convert to fraction form
    2,780.98/3,837.51 = 1,786.23/x
  3. Step 3: Cross multiply
    2,780.98x = 3,837.51 × 1,786.23
  4. Step 4: Simplify right side
    2,780.98x = 6,854,675.49
  5. Step 5: Solve for x
    x = 6,854,675.49/2,780.98
  6. Step 6: Final answer
    x = 2,464.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.