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Finding the Fourth Proportional to 12,712.65, 17,544.69 and 7,049.25

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Solution

The fourth proportional to 12,712.65, 17,544.69 and 7,049.25 is: 9,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.65 : 17,544.69 = 7,049.25 : x
  2. Step 2: Convert to fraction form
    12,712.65/17,544.69 = 7,049.25/x
  3. Step 3: Cross multiply
    12,712.65x = 17,544.69 × 7,049.25
  4. Step 4: Simplify right side
    12,712.65x = 123,676,905.98
  5. Step 5: Solve for x
    x = 123,676,905.98/12,712.65
  6. Step 6: Final answer
    x = 9,728.65

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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.