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Finding the Fourth Proportional to 5,107.46, 7,650 and 2,644.70

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Solution

The fourth proportional to 5,107.46, 7,650 and 2,644.70 is: 3,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.46 : 7,650 = 2,644.70 : x
  2. Step 2: Convert to fraction form
    5,107.46/7,650 = 2,644.70/x
  3. Step 3: Cross multiply
    5,107.46x = 7,650 × 2,644.70
  4. Step 4: Simplify right side
    5,107.46x = 20,231,955
  5. Step 5: Solve for x
    x = 20,231,955/5,107.46
  6. Step 6: Final answer
    x = 3,961.26

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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.