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Finding the Fourth Proportional to 8,201.33, 12,302.06 and 2,358.12

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Solution

The fourth proportional to 8,201.33, 12,302.06 and 2,358.12 is: 3,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.33 : 12,302.06 = 2,358.12 : x
  2. Step 2: Convert to fraction form
    8,201.33/12,302.06 = 2,358.12/x
  3. Step 3: Cross multiply
    8,201.33x = 12,302.06 × 2,358.12
  4. Step 4: Simplify right side
    8,201.33x = 29,009,721.94
  5. Step 5: Solve for x
    x = 29,009,721.94/8,201.33
  6. Step 6: Final answer
    x = 3,537.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.