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Finding the Fourth Proportional to 1,682.76, 2,320.90 and 1,493.90

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Solution

The fourth proportional to 1,682.76, 2,320.90 and 1,493.90 is: 2,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.76 : 2,320.90 = 1,493.90 : x
  2. Step 2: Convert to fraction form
    1,682.76/2,320.90 = 1,493.90/x
  3. Step 3: Cross multiply
    1,682.76x = 2,320.90 × 1,493.90
  4. Step 4: Simplify right side
    1,682.76x = 3,467,190.23
  5. Step 5: Solve for x
    x = 3,467,190.23/1,682.76
  6. Step 6: Final answer
    x = 2,060.42

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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.