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Finding the Fourth Proportional to 5,197.31, 7,795.73 and 1,910.16

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Solution

The fourth proportional to 5,197.31, 7,795.73 and 1,910.16 is: 2,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.31 : 7,795.73 = 1,910.16 : x
  2. Step 2: Convert to fraction form
    5,197.31/7,795.73 = 1,910.16/x
  3. Step 3: Cross multiply
    5,197.31x = 7,795.73 × 1,910.16
  4. Step 4: Simplify right side
    5,197.31x = 14,891,091.62
  5. Step 5: Solve for x
    x = 14,891,091.62/5,197.31
  6. Step 6: Final answer
    x = 2,865.15

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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.