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Finding the Fourth Proportional to 12,202.30, 18,279.15 and 7,002.10

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Solution

The fourth proportional to 12,202.30, 18,279.15 and 7,002.10 is: 10,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.30 : 18,279.15 = 7,002.10 : x
  2. Step 2: Convert to fraction form
    12,202.30/18,279.15 = 7,002.10/x
  3. Step 3: Cross multiply
    12,202.30x = 18,279.15 × 7,002.10
  4. Step 4: Simplify right side
    12,202.30x = 127,992,436.22
  5. Step 5: Solve for x
    x = 127,992,436.22/12,202.30
  6. Step 6: Final answer
    x = 10,489.21

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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.