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Finding the Fourth Proportional to 8,201.52, 12,302.15 and 2,358.11

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Solution

The fourth proportional to 8,201.52, 12,302.15 and 2,358.11 is: 3,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.52 : 12,302.15 = 2,358.11 : x
  2. Step 2: Convert to fraction form
    8,201.52/12,302.15 = 2,358.11/x
  3. Step 3: Cross multiply
    8,201.52x = 12,302.15 × 2,358.11
  4. Step 4: Simplify right side
    8,201.52x = 29,009,841.90
  5. Step 5: Solve for x
    x = 29,009,841.90/8,201.52
  6. Step 6: Final answer
    x = 3,537.13

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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.