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Finding the Fourth Proportional to 5,197.86, 7,796.54 and 1,910.72

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Solution

The fourth proportional to 5,197.86, 7,796.54 and 1,910.72 is: 2,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.86 : 7,796.54 = 1,910.72 : x
  2. Step 2: Convert to fraction form
    5,197.86/7,796.54 = 1,910.72/x
  3. Step 3: Cross multiply
    5,197.86x = 7,796.54 × 1,910.72
  4. Step 4: Simplify right side
    5,197.86x = 14,897,029.18
  5. Step 5: Solve for x
    x = 14,897,029.18/5,197.86
  6. Step 6: Final answer
    x = 2,865.99

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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.