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Finding the Fourth Proportional to 5,072.72, 7,609.79 and 1,563.02

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Solution

The fourth proportional to 5,072.72, 7,609.79 and 1,563.02 is: 2,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.72 : 7,609.79 = 1,563.02 : x
  2. Step 2: Convert to fraction form
    5,072.72/7,609.79 = 1,563.02/x
  3. Step 3: Cross multiply
    5,072.72x = 7,609.79 × 1,563.02
  4. Step 4: Simplify right side
    5,072.72x = 11,894,219.82
  5. Step 5: Solve for x
    x = 11,894,219.82/5,072.72
  6. Step 6: Final answer
    x = 2,344.74

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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.