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Finding the Fourth Proportional to 1,786.82, 2,674.40 and 1,616.32

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Solution

The fourth proportional to 1,786.82, 2,674.40 and 1,616.32 is: 2,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.82 : 2,674.40 = 1,616.32 : x
  2. Step 2: Convert to fraction form
    1,786.82/2,674.40 = 1,616.32/x
  3. Step 3: Cross multiply
    1,786.82x = 2,674.40 × 1,616.32
  4. Step 4: Simplify right side
    1,786.82x = 4,322,686.21
  5. Step 5: Solve for x
    x = 4,322,686.21/1,786.82
  6. Step 6: Final answer
    x = 2,419.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.