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Finding the Fourth Proportional to 1,866.56, 2,786.18 and 1,782.32

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Solution

The fourth proportional to 1,866.56, 2,786.18 and 1,782.32 is: 2,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.56 : 2,786.18 = 1,782.32 : x
  2. Step 2: Convert to fraction form
    1,866.56/2,786.18 = 1,782.32/x
  3. Step 3: Cross multiply
    1,866.56x = 2,786.18 × 1,782.32
  4. Step 4: Simplify right side
    1,866.56x = 4,965,864.34
  5. Step 5: Solve for x
    x = 4,965,864.34/1,866.56
  6. Step 6: Final answer
    x = 2,660.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.