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Finding the Fourth Proportional to 5,175.78, 7,765.02 and 1,891.62

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Solution

The fourth proportional to 5,175.78, 7,765.02 and 1,891.62 is: 2,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.78 : 7,765.02 = 1,891.62 : x
  2. Step 2: Convert to fraction form
    5,175.78/7,765.02 = 1,891.62/x
  3. Step 3: Cross multiply
    5,175.78x = 7,765.02 × 1,891.62
  4. Step 4: Simplify right side
    5,175.78x = 14,688,467.13
  5. Step 5: Solve for x
    x = 14,688,467.13/5,175.78
  6. Step 6: Final answer
    x = 2,837.92

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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.