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Finding the Fourth Proportional to 1,682.10, 2,321.25 and 936.02

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Solution

The fourth proportional to 1,682.10, 2,321.25 and 936.02 is: 1,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.10 : 2,321.25 = 936.02 : x
  2. Step 2: Convert to fraction form
    1,682.10/2,321.25 = 936.02/x
  3. Step 3: Cross multiply
    1,682.10x = 2,321.25 × 936.02
  4. Step 4: Simplify right side
    1,682.10x = 2,172,724.82
  5. Step 5: Solve for x
    x = 2,172,724.82/1,682.10
  6. Step 6: Final answer
    x = 1,291.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.