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Finding the Fourth Proportional to 1,786.32, 2,680.02 and 1,476.77

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Solution

The fourth proportional to 1,786.32, 2,680.02 and 1,476.77 is: 2,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.32 : 2,680.02 = 1,476.77 : x
  2. Step 2: Convert to fraction form
    1,786.32/2,680.02 = 1,476.77/x
  3. Step 3: Cross multiply
    1,786.32x = 2,680.02 × 1,476.77
  4. Step 4: Simplify right side
    1,786.32x = 3,957,759.74
  5. Step 5: Solve for x
    x = 3,957,759.74/1,786.32
  6. Step 6: Final answer
    x = 2,215.59

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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.