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Finding the Fourth Proportional to 5,137.66, 7,706.44 and 1,627.66

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Solution

The fourth proportional to 5,137.66, 7,706.44 and 1,627.66 is: 2,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.66 : 7,706.44 = 1,627.66 : x
  2. Step 2: Convert to fraction form
    5,137.66/7,706.44 = 1,627.66/x
  3. Step 3: Cross multiply
    5,137.66x = 7,706.44 × 1,627.66
  4. Step 4: Simplify right side
    5,137.66x = 12,543,421.53
  5. Step 5: Solve for x
    x = 12,543,421.53/5,137.66
  6. Step 6: Final answer
    x = 2,441.47

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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.