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Finding the Fourth Proportional to 1,682.15, 2,321.39 and 925.96

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Solution

The fourth proportional to 1,682.15, 2,321.39 and 925.96 is: 1,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.15 : 2,321.39 = 925.96 : x
  2. Step 2: Convert to fraction form
    1,682.15/2,321.39 = 925.96/x
  3. Step 3: Cross multiply
    1,682.15x = 2,321.39 × 925.96
  4. Step 4: Simplify right side
    1,682.15x = 2,149,507.32
  5. Step 5: Solve for x
    x = 2,149,507.32/1,682.15
  6. Step 6: Final answer
    x = 1,277.84

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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.