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Finding the Fourth Proportional to 12,974.33, 17,905.49 and 7,232.15

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Solution

The fourth proportional to 12,974.33, 17,905.49 and 7,232.15 is: 9,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.33 : 17,905.49 = 7,232.15 : x
  2. Step 2: Convert to fraction form
    12,974.33/17,905.49 = 7,232.15/x
  3. Step 3: Cross multiply
    12,974.33x = 17,905.49 × 7,232.15
  4. Step 4: Simplify right side
    12,974.33x = 129,495,189.50
  5. Step 5: Solve for x
    x = 129,495,189.50/12,974.33
  6. Step 6: Final answer
    x = 9,980.88

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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.