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Finding the Fourth Proportional to 5,125, 7,688.94 and 2,527.24

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Solution

The fourth proportional to 5,125, 7,688.94 and 2,527.24 is: 3,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125 : 7,688.94 = 2,527.24 : x
  2. Step 2: Convert to fraction form
    5,125/7,688.94 = 2,527.24/x
  3. Step 3: Cross multiply
    5,125x = 7,688.94 × 2,527.24
  4. Step 4: Simplify right side
    5,125x = 19,431,796.73
  5. Step 5: Solve for x
    x = 19,431,796.73/5,125
  6. Step 6: Final answer
    x = 3,791.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.