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Finding the Fourth Proportional to 5,198.61, 7,797.67 and 1,911.47

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Solution

The fourth proportional to 5,198.61, 7,797.67 and 1,911.47 is: 2,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.61 : 7,797.67 = 1,911.47 : x
  2. Step 2: Convert to fraction form
    5,198.61/7,797.67 = 1,911.47/x
  3. Step 3: Cross multiply
    5,198.61x = 7,797.67 × 1,911.47
  4. Step 4: Simplify right side
    5,198.61x = 14,905,026.99
  5. Step 5: Solve for x
    x = 14,905,026.99/5,198.61
  6. Step 6: Final answer
    x = 2,867.12

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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.