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Finding the Fourth Proportional to 5,168.26, 7,747.80 and 1,880.74

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Solution

The fourth proportional to 5,168.26, 7,747.80 and 1,880.74 is: 2,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.26 : 7,747.80 = 1,880.74 : x
  2. Step 2: Convert to fraction form
    5,168.26/7,747.80 = 1,880.74/x
  3. Step 3: Cross multiply
    5,168.26x = 7,747.80 × 1,880.74
  4. Step 4: Simplify right side
    5,168.26x = 14,571,597.37
  5. Step 5: Solve for x
    x = 14,571,597.37/5,168.26
  6. Step 6: Final answer
    x = 2,819.44

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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.