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Finding the Fourth Proportional to 5,137.39, 7,706.02 and 1,627.39

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Solution

The fourth proportional to 5,137.39, 7,706.02 and 1,627.39 is: 2,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.39 : 7,706.02 = 1,627.39 : x
  2. Step 2: Convert to fraction form
    5,137.39/7,706.02 = 1,627.39/x
  3. Step 3: Cross multiply
    5,137.39x = 7,706.02 × 1,627.39
  4. Step 4: Simplify right side
    5,137.39x = 12,540,715.37
  5. Step 5: Solve for x
    x = 12,540,715.37/5,137.39
  6. Step 6: Final answer
    x = 2,441.07

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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.