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Finding the Fourth Proportional to 1,682.78, 2,321.88 and 983.84

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Solution

The fourth proportional to 1,682.78, 2,321.88 and 983.84 is: 1,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.78 : 2,321.88 = 983.84 : x
  2. Step 2: Convert to fraction form
    1,682.78/2,321.88 = 983.84/x
  3. Step 3: Cross multiply
    1,682.78x = 2,321.88 × 983.84
  4. Step 4: Simplify right side
    1,682.78x = 2,284,358.42
  5. Step 5: Solve for x
    x = 2,284,358.42/1,682.78
  6. Step 6: Final answer
    x = 1,357.49

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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.