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Finding the Fourth Proportional to 12,568.40, 17,343.72 and 7,532.82

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Solution

The fourth proportional to 12,568.40, 17,343.72 and 7,532.82 is: 10,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.40 : 17,343.72 = 7,532.82 : x
  2. Step 2: Convert to fraction form
    12,568.40/17,343.72 = 7,532.82/x
  3. Step 3: Cross multiply
    12,568.40x = 17,343.72 × 7,532.82
  4. Step 4: Simplify right side
    12,568.40x = 130,647,120.89
  5. Step 5: Solve for x
    x = 130,647,120.89/12,568.40
  6. Step 6: Final answer
    x = 10,394.89

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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.