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Finding the Fourth Proportional to 12,715.20, 17,546.98 and 7,050.02

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Solution

The fourth proportional to 12,715.20, 17,546.98 and 7,050.02 is: 9,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.20 : 17,546.98 = 7,050.02 : x
  2. Step 2: Convert to fraction form
    12,715.20/17,546.98 = 7,050.02/x
  3. Step 3: Cross multiply
    12,715.20x = 17,546.98 × 7,050.02
  4. Step 4: Simplify right side
    12,715.20x = 123,706,559.94
  5. Step 5: Solve for x
    x = 123,706,559.94/12,715.20
  6. Step 6: Final answer
    x = 9,729.03

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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.