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Finding the Fourth Proportional to 9,732.68, 13,428.90 and 6,201.08

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Solution

The fourth proportional to 9,732.68, 13,428.90 and 6,201.08 is: 8,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.68 : 13,428.90 = 6,201.08 : x
  2. Step 2: Convert to fraction form
    9,732.68/13,428.90 = 6,201.08/x
  3. Step 3: Cross multiply
    9,732.68x = 13,428.90 × 6,201.08
  4. Step 4: Simplify right side
    9,732.68x = 83,273,683.21
  5. Step 5: Solve for x
    x = 83,273,683.21/9,732.68
  6. Step 6: Final answer
    x = 8,556.09

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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.