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Finding the Fourth Proportional to 13,042.56, 19,568.64 and 5,253.60

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Solution

The fourth proportional to 13,042.56, 19,568.64 and 5,253.60 is: 7,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.56 : 19,568.64 = 5,253.60 : x
  2. Step 2: Convert to fraction form
    13,042.56/19,568.64 = 5,253.60/x
  3. Step 3: Cross multiply
    13,042.56x = 19,568.64 × 5,253.60
  4. Step 4: Simplify right side
    13,042.56x = 102,805,807.10
  5. Step 5: Solve for x
    x = 102,805,807.10/13,042.56
  6. Step 6: Final answer
    x = 7,882.33

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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.