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Finding the Fourth Proportional to 5,107, 7,661.72 and 1,644.24

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Solution

The fourth proportional to 5,107, 7,661.72 and 1,644.24 is: 2,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107 : 7,661.72 = 1,644.24 : x
  2. Step 2: Convert to fraction form
    5,107/7,661.72 = 1,644.24/x
  3. Step 3: Cross multiply
    5,107x = 7,661.72 × 1,644.24
  4. Step 4: Simplify right side
    5,107x = 12,597,706.49
  5. Step 5: Solve for x
    x = 12,597,706.49/5,107
  6. Step 6: Final answer
    x = 2,466.75

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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.