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Finding the Fourth Proportional to 5,087.72, 7,630.41 and 1,968.14

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Solution

The fourth proportional to 5,087.72, 7,630.41 and 1,968.14 is: 2,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.72 : 7,630.41 = 1,968.14 : x
  2. Step 2: Convert to fraction form
    5,087.72/7,630.41 = 1,968.14/x
  3. Step 3: Cross multiply
    5,087.72x = 7,630.41 × 1,968.14
  4. Step 4: Simplify right side
    5,087.72x = 15,017,715.14
  5. Step 5: Solve for x
    x = 15,017,715.14/5,087.72
  6. Step 6: Final answer
    x = 2,951.76

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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.