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Finding the Fourth Proportional to 17,972.12, 26,938.74 and 7,449.14

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Solution

The fourth proportional to 17,972.12, 26,938.74 and 7,449.14 is: 11,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.12 : 26,938.74 = 7,449.14 : x
  2. Step 2: Convert to fraction form
    17,972.12/26,938.74 = 7,449.14/x
  3. Step 3: Cross multiply
    17,972.12x = 26,938.74 × 7,449.14
  4. Step 4: Simplify right side
    17,972.12x = 200,670,445.68
  5. Step 5: Solve for x
    x = 200,670,445.68/17,972.12
  6. Step 6: Final answer
    x = 11,165.65

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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.